Devendra Kumar

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All published works

Action	Title	Year	Authors
+	Numerical treatment of singularly perturbed turning point problems with delay in time	2025	Satpal Singh Devendra Kumar J. Vigo‐Aguiar
+	A Robust and higher order numerical technique for a time-fractional equation with nonlocal condition	2024	Komal Taneja Komal Deswal Devendra Kumar J. Vigo‐Aguiar
+	An effective numerical approach for solving a system of singularly perturbed differential-difference equations in biology and physiology	2024	Parvin Kumari Satpal Singh Devendra Kumar
+	A higher order unconditionally stable numerical technique for multi-term time-fractional diffusion and advection–diffusion equations	2024	Renu Choudhary Satpal Singh Devendra Kumar
+	A parameter-uniform hybrid scheme designed for multi-point boundary value problems that are perturbed	2024	Parvin Kumari Devendra Kumar J. Vigo‐Aguiar
+ PDF Chat	A Parameter-uniform Hybrid Scheme Designed for Multi-pointboundary Value Problems That Are Perturbed	2024	Parvin Kumari Devendra Kumar J. Vigo‐Aguiar
+	A High Order Numerical Scheme for Time-Fractional Telegraph Equation Via Cubic Spline in Tension	2024	Reetika Chawla Devendra Kumar
+	A higher order stable numerical approximation for time‐fractional non‐linear Kuramoto–Sivashinsky equation based on quintic B$$ \mathfrak{B} $$‐spline	2024	Renu Choudhary Satpal Singh Pratibhamoy Das Devendra Kumar
+	An implicit scheme for time-fractional coupled generalized Burgers’ equation	2024	J. Vigo‐Aguiar Reetika Chawla Devendra Kumar Tapas Mazumdar
+ PDF Chat	A parameter-uniform implicit scheme for two-parameter singularly perturbed parabolic problems	2024	Parvin Kumari Devendra Kumar Higinio Ramos
+	Higher-order compact finite difference method for a free boundary problem of ductal carcinoma in situ	2023	Komal Deswal Komal Taneja Devendra Kumar
+	A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation	2023	Reetika Chawla Devendra Kumar Satpal Singh
+	Collocation-based numerical simulation of fractional order Allen–Cahn equation	2023	Renu Choudhary Devendra Kumar
+	A high‐order numerical technique for generalized time‐fractional Fisher's equation	2023	Renu Choudhary Satpal Singh Devendra Kumar
+	A robust higher-order numerical technique with graded and harmonic meshes for the time-fractional diffusion–advection–reaction equation	2023	Komal Taneja Komal Deswal Devendra Kumar
+	Higher-order tension spline-based numerical technique for time fractional reaction-diffusion wave equation with damping	2023	Reetika Chawla Devendra Kumar
+	Parameter uniform numerical method for a system of singularly perturbed parabolic convection–diffusion equations	2023	Satpal Singh Devendra Kumar
+	Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic <i>B</i> -splines	2023	Renu Choudhary Devendra Kumar
+	A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction–diffusion equations	2023	Satpal Singh Devendra Kumar J. Vigo‐Aguiar
+	Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes	2023	Reetika Chawla Komal Deswal Devendra Kumar Dumitru Băleanu
+	Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	2023	Satpal Singh Devendra Kumar V. Shanthi
+	An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term	2023	Satpal Singh Renu Choudhary Devendra Kumar
+ PDF Chat	A SEMI-ANALYTIC METHOD FOR SOLVING SINGULARLY PERTURBED TWIN-LAYER PROBLEMS WITH A TURNING POINT	2023	Süleyman Cengizci Devendra Kumar Mehmet Tarık Atay
+	Second-order convergent scheme for time-fractional partial differential equations with a delay in time	2022	Renu Choudhary Devendra Kumar Satpal Singh
+	Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations	2022	Devendra Kumar Komal Deswal Satpal Singh
+	An effective numerical approach for two parameter time-delayed singularly perturbed problems	2022	Satpal Singh Parvin Kumari Devendra Kumar
+	A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ equation	2022	Reetika Chawla Komal Deswal Devendra Kumar
+	Spline-based parameter-uniform scheme for fourth-order singularly perturbed differential equations	2022	Satpal Singh Devendra Kumar
+	Trigonometric <i>B</i>-spline based <i>ε</i>-uniform scheme for singularly perturbed problems with Robin boundary conditions	2022	Satpal Singh Devendra Kumar Komal Deswal
+	Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes	2022	Komal Deswal Devendra Kumar J. Vigo‐Aguiar
+	A wavelet‐based novel approximation to investigate the sensitivities of various path‐independent binary options	2022	Komal Deswal Devendra Kumar
+	Rannacher time-marching with orthogonal spline collocation method for retrieving the discontinuous behavior of hedging parameters	2022	Komal Deswal Devendra Kumar
+ PDF Chat	A second-order numerical scheme for the time-fractional partial differential equations with a time delay	2022	Renu Choudhary Satpal Singh Devendra Kumar
+ PDF Chat	A uniformly convergent quadratic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e4120" altimg="si2.svg"><mml:mi>B</mml:mi></mml:math>-spline based scheme for singularly perturbed degenerate parabolic problems	2022	Satpal Singh Devendra Kumar Higinio Ramos
+	A novel finite difference based numerical approach for Modified Atangana- Baleanu Caputo derivative	2022	Reetika Chawla Komal Deswal Devendra Kumar Dumitru Băleanu
+	A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	2021	Devendra Kumar Komal Deswal Satpal Singh
+	Advanced Numerical Methods for Differential Equations	2021	Harendra Singh Jagdev Singh Sunıl Dutt Purohıt Devendra Kumar
+	A uniformly convergent scheme for two-parameter problems having layer behaviour	2021	Devendra Kumar
+	Quadratic<i>B</i>-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh	2021	Meenakshi Shivhare P. Pramod Chakravarthy Devendra Kumar
+	Wavelet-based approximation for two-parameter singularly perturbed problems with Robin boundary conditions	2021	Devendra Kumar Komal Deswal
+	Two‐dimensional Haar wavelet based approximation technique to study the sensitivities of the price of an option	2020	Devendra Kumar Komal Deswal
+	A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters	2020	Meenakshi Shivhare P. Pramod Chakravarthy Devendra Kumar
+	Haar‐wavelet based approximation for pricing American options under linear complementarity formulations	2020	Devendra Kumar Komal Deswal
+	A parameter‐uniform scheme for the parabolic singularly perturbed problem with a delay in time	2020	Devendra Kumar
+	Uniformly convergent scheme for two‐parameter singularly perturbed problems with non‐smooth data	2020	Devendra Kumar Parvin Kumari
+	Trigonometric quintic<i>B</i>-spline collocation method for singularly perturbed turning point boundary value problems	2020	Mohammad Prawesh Alam Devendra Kumar Arshad Khan
+	A parameter-uniform collocation scheme for singularly perturbed delay problems with integral boundary condition	2020	Devendra Kumar Parvin Kumari
+	Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay	2020	Devendra Kumar Parvin Kumari
+	Introduction to the Special Issue on Numerical Methods for Differential and Integral Equations	2020	Şuayip Yüzbaşı Kamel Al‐Khaled Nurcan Baykuş Savaşaneril Devendra Kumar
+	A parameter‐uniform scheme for singularly perturbed partial differential equations with a time lag	2019	Devendra Kumar Parvin Kumari
+	Controllability on Non-dense Delay Fractional Differential System with Non-Local Conditions	2019	C. Ravichandran K. Jothimani Devendra Kumar
+	A New Approximation Scheme for Solving Ordinary Differential Equation with Gomez–Atangana–Caputo Fractional Derivative	2019	Toufik Mekkaoui Zakia Hammouch Devendra Kumar Jagdev Singh
+	Certain formulas involving a multi-index Mittag-Leffler function	2019	Priyanka Harjule Junesang Choi Manish Kumar Bansal Shahid Mubeen Devendra Kumar
+	A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers	2018	Devendra Kumar
+	An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience	2018	Devendra Kumar
+	A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers	2018	Devendra Kumar
+	A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay	2018	Devendra Kumar Parvin Kumari
+	Fitted Mesh Method for a Class of Singularly Perturbed Differential-Difference Equations	2015	Devendra Kumar
+ PDF Chat	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method	2014	Anupama Choudhary Devendra Kumar Jagdev Singh
+	A Parameter-uniform Method for Two Parameters Singularly Perturbed Boundary Value Problems via Asymptotic Expansion	2013	Devendra Kumar Arjun Singh Yadaw Mohan K. Kadalbajoo
+	A computational technique for solving boundary value problem with two small parameters	2013	Devendra Kumar
+	Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behavior	2012	Devendra Kumar Mohan K. Kadalbajoo
+	Finite difference scheme for singularly perturbed convectiondiffusion problem with two small parameters	2012	Devendra Kumar
+	Fourier Transform in L p (R) Spaces, p 1	2011	Devendra Kumar Dimple Singh
+	A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations	2010	Devendra Kumar Mohan K. Kadalbajoo
+ PDF Chat	Variable Mesh Finite Difference Method for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems	2010	M. K. Kadaibajoo Devendra Kumar
+	A computational method for singularly perturbed nonlinear differential-difference equations with small shift	2009	Mohan K. Kadalbajoo Devendra Kumar
+	Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme	2009	Mohan K. Kadalbajoo Devendra Kumar
+	Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method	2008	Mohan K. Kadalbajoo Arjun Singh Yadaw Devendra Kumar
+	Fitted mesh B-spline collocation method for singularly perturbed differential–difference equations with small delay	2008	Mohan K. Kadalbajoo Devendra Kumar
+	A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial value technique	2008	Mohan K. Kadalbajoo Devendra Kumar
+	PARAMETER-UNIFORM FITTED OPERATOR B-SPLINE COLLOCATION METHOD FOR SELF-ADJOINT SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS	2008	Mohan K. Kadalbajoo Devendra Kumar
+	Geometric mesh FDM for self-adjoint singular perturbation boundary value problems	2007	Mohan K. Kadalbajoo Devendra Kumar
+	$L^p$-approximation of generalized biaxially symmetric potentials over Carathéodory domains	2005	Harvir Singh Kasana Devendra Kumar
+	Single cell discretization of O(kh(2)+h(4)) for the estimates of partial derivative u/partial derivative n for two-space dimensional quasi-linear parabolic equation	2001	RK Mohanty M.C. Jain Devendra Kumar
+	A Novel Approach to Sequential Simulation	1986	Devendra Kumar

Common Coauthors

Coauthor	Papers Together
Satpal Singh	18
Komal Deswal	15
Mohan K. Kadalbajoo	10
Parvin Kumari	10
Renu Choudhary	8
Reetika Chawla	7
J. Vigo‐Aguiar	7
Jagdev Singh	3
Meenakshi Shivhare	2
Komal Taneja	2
Dumitru Băleanu	2
Arjun Singh Yadaw	2
P. Pramod Chakravarthy	2
Higinio Ramos	2
K. Jothimani	1
Mohammad Prawesh Alam	1
Priyanka Harjule	1
Shahid Mubeen	1
Toufik Mekkaoui	1
Pratibhamoy Das	1
Arshad Khan	1
Şuayip Yüzbaşı	1
V. Shanthi	1
C. Ravichandran	1
RK Mohanty	1
Komal Taneja	1
Nurcan Baykuş Savaşaneril	1
Anupama Choudhary	1
M.C. Jain	1
Sunıl Dutt Purohıt	1
M. K. Kadaibajoo	1
Zakia Hammouch	1
Manish Kumar Bansal	1
Junesang Choi	1
Süleyman Cengizci	1
Tapas Mazumdar	1
Kamel Al‐Khaled	1
Harvir Singh Kasana	1
Dimple Singh	1
Harendra Singh	1
Mehmet Tarık Atay	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fitted Numerical Methods for Singular Perturbation Problems	1996	John J. H. Miller Eugene O’Riordan G. I. Shishkin	20
+	Uniform Numerical Methods for Problems with Initial and Boundary Layers.	1982	Alan E. Berger E. P. Doolan John J. H. Miller W.H.A. Schilders	17
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin	16
+	A lower bound for the smallest singular value of a matrix	1975	J. M. Varah	15
+	Introduction to Singular Perturbations	1975	Wolfgang Wasow Robert E. O’Malley	14
+	Singular Perturbation Methods for Ordinary Differential Equations	1991	Robert E. O’Malley	13
+	Numerical Methods for Singularly Perturbed Differential Equations	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	12
+	Analysis of some difference approximations for a singular perturbation problem without turning points	1978	R. Bruce Kellogg Alice Tsan	11
+	Fractional differential equations	1999	Igor Podlubný	10
+	Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	10
+ PDF Chat	Singular perturbation methods for ordinary differential equations	1992	Jr. Robert E. O'Malley	9
+	ε-Uniformly convergent fitted mesh finite difference methods for general singular perturbation problems	2006	Mohan K. Kadalbajoo Kailash C. Patidar	9
+	High‐order numerical methods for one‐dimensional parabolic singularly perturbed problems with regular layers	2004	C. Clavero J.L. Gracia J.C. Jorge	9
+	Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems	2009	Torsten Linß	8
+ PDF Chat	The Sdfem for a Convection-diffusion Problem with Two Small Parameters	2003	Hans‐Görg Roos Zorica Uzelac	8
+	Introduction to perturbation techniques	1981	Ali H. Nayfeh	8
+	Approximation of singularly perturbed reaction-diffusion problems by quadratic C 1-splines	2012	Torsten Linß Goran Radojev Helena Zarin	7
+ PDF Chat	A class of singularly perturbed semilinear differential equations with interior layers	2005	Paul A. Farrell Eugene O’Riordan G. I. Shishkin	7
+	An Introduction to the Fractional Calculus and Fractional Differential Equations	1993	Kenneth S. Miller Bertram Ross	7
+	The Fractional Calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order	1974	Keith B. Oldham Jerome Spanier	6
+	Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters	2015	Pratibhamoy Das Volker Mehrmann	6
+ PDF Chat	Graded-mesh difference schemes for singularly perturbed two-point boundary value problems	1988	Eugene C. Gartland	6
+	Fitted mesh B-spline collocation method for solving self-adjoint singularly perturbed boundary value problems	2004	Mohan K. Kadalbajoo Vivek K. Aggarwal	6
+	Introduction to Singular Perturbations	1974		6
+	Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior	1994	Charles G. Lange Robert M. Miura	6
+	A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers	2018	Devendra Kumar	6
+	Quandratic interpolatory splines	1974	W. J. Kammerer G. W. Reddien R. S. Varga	6
+	Continuous and Numerical Analysis of a Multiple Boundary Turning Point Problem	1993	Relja Vulanović Paul A. Farrell	6
+	A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations	2006	Ali Ansari Shaaban A. Bakr G. I. Shishkin	6
+	A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay	2018	Devendra Kumar Parvin Kumari	6
+	Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers	2013	Fazhan Geng S.P. Qian	5
+	Theory and Applications of Partial Functional Differential Equations	1996	Jian Wu	5
+	A Higher-Order Scheme for Quasilinear Boundary Value Problems with Two Small Parameters	2001	Relja Vulanović	5
+ PDF Chat	Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems	2006	Eugene O’Riordan Maria Pickett G. I. Shishkin	5
+	Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations	1994	Charles G. Lange Robert M. Miura	5
+ PDF Chat	Perturbation Methods in Applied Mathematics	1973	Julian D. Cole Lawrence E. Levine	5
+	On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory	1974	Jye Chen Robert E. O’Malley	5
+	B-Spline collocation method for a two-parameter singularly perturbed convection–diffusion boundary value problems	2008	Mohan K. Kadalbajoo Arjun Singh Yadaw	5
+	Finite element methods on piecewise equidistant meshes for interior turning point problems	1994	Guangfu Sun Martin Stynes	5
+	Numerical solution of two-parameter singularly perturbed boundary value problems via exponential spline	2013	W. K. Zahra Ashraf M. El Mhlawy	5
+	Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters	2003	Torsten Linß Hans‐Görg Roos	5
+	Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems	2015	P. Constantinou Christos Xenophontos	5
+	-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems	2000	Piet Hemker	5
+	Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers	2011	Mohan K. Kadalbajoo Puneet Arora Vikas Gupta	4
+	Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers	2003	Srinivasan Natesan J. Jayakumar J. Vigo‐Aguiar	4
+	On the convergence of odd-degree spline interpolation	1968	Carl de Boor	4
+	Second-order linear parabolic equations with a small parameter	1968	L. E. Bobisud	4
+	Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters	1967	Robert E. O’Malley	4
+	Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems	1985	Charles G. Lange Robert M. Miura	4
+	Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations	1982	Charles G. Lange Robert M. Miura	4