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Gunjan Khurana
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All published works
Action
Title
Year
Authors
+
High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation
2023
R. K. Mohanty
Bishnu Pada Ghosh
Gunjan Khurana
+
Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs
2023
Geetan Manchanda
Gunjan Khurana
R. K. Mohanty
+
High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region
2022
R. K. Mohanty
Nikita Setia
Gunjan Khurana
Geetan Manchanda
+
A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems
2020
R. K. Mohanty
Geetan Manchanda
Arshad Khan
Gunjan Khurana
+
A NEW THIRD ORDER EXPONENTIALLY FITTED DISCRETIZATION FOR THE SOLUTION OF NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS ON A GRADED MESH
2020
R. K. Mohanty
Geetan Manchanda
Gunjan Khurana
Arshad Khan
+
A new high accuracy cubic spline method based on half-step discretization for the system of 1D non-linear wave equations
2019
R. K. Mohanty
Gunjan Khurana
+
A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations
2018
R. K. Mohanty
Gunjan Khurana
+
A New Spline-in-Tension Method of O( $$k^{2}+h^{4})$$ k 2 + h 4 ) Based on Off-step Grid Points for the Solution of 1D Quasi-linear Hyperbolic Partial Differential Equations in Vector Form
2017
R. K. Mohanty
Gunjan Khurana
+
PDF
Chat
A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
2017
RK Mohanty
Gunjan Khurana
+
A new spline in compression technique of order four in space and order two in time for the solution of 1D wave equation in polar coordinates
2016
Gunjan Khurana
R. K. Mohanty
+
A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations
2016
R. K. Mohanty
Gunjan Khurana
Common Coauthors
Coauthor
Papers Together
R. K. Mohanty
10
Geetan Manchanda
4
Arshad Khan
2
Bishnu Pada Ghosh
1
Nikita Setia
1
RK Mohanty
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
2008
R. K. Mohanty
7
+
Iterative Methods for Linear and Nonlinear Equations
1995
C. T. Kelley
5
+
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
2004
R. K. Mohanty
5
+
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations
2014
R. K. Mohanty
Ravindra Kumar
5
+
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms
2007
R. K. Mohanty
5
+
An analysis for a high‐order difference scheme for numerical solution to <i>u</i><sub><i>tt</i></sub> = <i>A</i>(<i>x, t</i>)<i>u</i><sub><i>xx</i></sub> + <i>F</i>(<i>x, t, u, u</i><sub><i>t</i></sub>, <i>u</i><sub><i>x</i></sub>)
2006
Weidong Li
Zhi‐zhong Sun
Lei Zhao
5
+
Superstable two-step methods for the numerical integration of general second order initial value problems
1985
M. M. Chawla
4
+
A family of variable mesh methods for the estimates of (d<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si64.gif" overflow="scroll"><mml:mi>u</mml:mi></mml:math>/d<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si65.gif" overflow="scroll"><mml:mi>r</mml:mi></mml:math>) and solution of non-linear two point boundary value problems with singularity
2005
R. K. Mohanty
4
+
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems
2004
R. K. Mohanty
D. J. Evans
Urvashi Arora
4
+
PDF
Chat
The use of cubic splines in the solution of two-point boundary value problems
1969
D. J. Fyfe
3
+
PDF
Chat
A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations
2013
R. K. Mohanty
Venu Gopal
3
+
A Fully Implicit Finite Difference Approximation to the One-dimensional Wave Equation using a Cubic Spline Technique
1974
G.F. Raggett
P. David Wilson
3
+
Spline methods for the solutions of hyperbolic equations
2007
Jalil Rashidinia
R. Jalilian
V. Kazemi
3
+
Parametric Cubic Spline Approach to the Solution of a System of Second-Order Boundary-Value Problems
2003
Asif Khan
Tariq Aziz
3
+
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations
2011
R. K. Mohanty
Venu Gopal
3
+
Spline function approximation for differential equations
1981
Manoj Jain
Tariq Aziz
3
+
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems
2004
R. K. Mohanty
Navnit Jha
3
+
A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations
2016
R. K. Mohanty
Gunjan Khurana
3
+
On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
1996
R. K. Mohanty
Manoj Jain
Kochurani George
3
+
A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
1978
M. M. Chawla
3
+
PDF
Chat
Piecewise Cubic Interpolation and Two-Point Boundary Problems
1968
W. G. Bickley
3
+
Numerical solution of singularly perturbed two-point boundary value problems by spline in tension
2002
Mohan K. Kadalbajoo
Kailash C. Patidar
3
+
A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems
2020
R. K. Mohanty
Geetan Manchanda
Arshad Khan
Gunjan Khurana
3
+
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems
2004
R. K. Mohanty
Navnit Jha
David J. Evans
3
+
Variable mesh methods for the numerical solution of two-point singular perturbation problems
1984
Manoj Jain
Satteluri R. K. Iyengar
G. S. Subramanyam
3
+
Parameters spline methods for the solution of hyperbolic equations
2008
Hengfei Ding
Yuxin Zhang
3
+
A new discretization method of order four for the numerical solution of one-space dimensional second-order quasi-linear hyperbolic equation
2002
R. K. Mohanty
Urvashi Arora
3
+
Difference schemes based on splines in compression for the solution of conservation laws
1983
Manoj Jain
Satteluri R. K. Iyengar
ACR Pillai
3
+
A class of non-uniform mesh three point arithmetic average discretization for y″=f(x,y,y′) and the estimates of y′
2006
R. K. Mohanty
3
+
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term
2014
R. K. Mohanty
Venu Gopal
3
+
A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation
2010
Jianming Liu
Keming Tang
2
+
Non-polynomial cubic spline methods for the solution of parabolic equations
2008
Jalil Rashidinia
Reza Mohammadi
2
+
Solvability of some fourth (and higher) order singular boundary value problems
1991
Donal O’Regan
2
+
A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations
2012
R. K. Mohanty
Venu Gopal
2
+
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations†
2008
R. K. Mohanty
Manoj Jain
2
+
Numerical solution of singularly perturbed two point boundary value problems by spline in compression
2001
Mohan K. Kadalbajoo
Kailash C. Patidar
2
+
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh
2015
R. K. Mohanty
Sean McKee
2
+
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems
2005
R. K. Mohanty
Swarn Singh
2
+
Fourth-order compact solution of the nonlinear Klein-Gordon equation
2009
Mehdi Dehghan
Akbar Mohebbi
Zohreh Asgari
2
+
A Classification of Split Difference Methods for Hyperbolic Equations in Several Space Dimensions
1969
A. R. Gourlay
A. R. Mitchell
2
+
A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates
2013
Venu Gopal
R. K. Mohanty
L. M. Saha
2
+
Cubic spline solution of two-point boundary value problems with significant first derivatives
1983
Manoj Jain
Tariq Aziz
2
+
PDF
Chat
A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
2015
R. K. Mohanty
Navnit Jha
Ravindra Kumar
2
+
Multiderivative methods for non-linear second-order boundary value problems
1987
E. H. Twizell
S.I.A. Tirmizi
2
+
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives
2005
R. K. Mohanty
Urvashi Arora
2
+
Cubic spline for solving singular two-point boundary value problems
2003
Mohan K. Kadalbajoo
Vivek K. Aggarwal
2
+
PDF
Chat
Higher order compact implicit schemes for the wave equation
1975
Melvyn Ciment
Stephen H. Leventhal
2
+
A class of explicit two-step superstable methods for second-order linear initial value problems
2008
Godfrey Saldanha
Donna Jennifer Saldanha
2
+
An Introduction to Delay Differential Equations with Applications to the Life Sciences
2010
Hal L. Smith
2
+
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
2004
R. K. Mohanty
2