Solving a new design of nonlinear second-order Lane–Emden pantograph delay differential model via Bernoulli collocation method

Waleed Adel, Zulqurnain Sabir

Type: Article

Publication Date: 2020-05-01

Citations: 89

DOI: https://doi.org/10.1140/epjp/s13360-020-00449-x

View Publication

Locations

The European Physical Journal Plus - View

Similar Works

Action	Title	Year	Authors
+	Hybrid Taylor-Lucas Collocation Method for Numerical Solution of High-Order Pantograph Type Delay Differential Equations with Variables Delays	2017	Nurcan Bayku Mehmet Sezer
+	Dejdumrong Collocation Approach and Operational Matrix for a Class of Second-Order Delay IVPs: Error Analysis and Applications	2024	Nawal Shirawia Ahmed Kherd Salim F. Bamsaoud Mohammad A. Tashtoush Ali F. Al Jassar Emad A. Az‐Zo'bi
+ PDF Chat	Pell-Lucas Collocation Method to Solve Second-Order Nonlinear Lane-Emden Type Pantograph Differential Equations	2022	Şuayip Yüzbaşı Gamze Yıldırım
+	Numerical Solution of Second Order Delay Type Differential equation by Collocation Method via First Boubeker Polynomials	2017	Muhammad Bilal Rosli Norhayati Iftikhar Ahmad Safi Ullah
+	Numerical solution of Lane-Emden pantograph delay differential equation: stability and convergence analysis	2022	Nikhil Sriwastav Amit K. Barnwal
+	Design of Backpropagated Intelligent Networks for Nonlinear Second-Order Lane–Emden Pantograph Delay Differential Systems	2021	Imtiaz A. Khan Muhammad Asif Zahoor Raja Muhammad Abdul Rehman Khan Muhammad Shoaib Saeed Islam Zahir Shah
+	Analysis of nonlinear pantograph delay differential equations using differential transform technique	2025	Giriraj Methi Anil Kumar Rupal Aggarwal
+	An effective method for numerical solution of delay differential equations of multi-pantograph type	2013	E. Sokhanvar S. A. Yousefi
+	A novel numerical approach and stability analysis for a class of pantograph delay differential equation	2023	Nikhil Sriwastav Amit K. Barnwal Abdul‐Majid Wazwaz Mehakpreet Singh
+ PDF Chat	Solution of a system of delay differential equations of multi pantograph type	2017	Sara Davaeifar Jalil Rashidinia
+ PDF Chat	On The Higher-Order Pantograph Type Delay Differential Equation Via Orthonormal Bernstein Polynomials	2020	Hassan Hamad J. AL-Nasrawy Abdul Khaleq O. Al-Jubor Kasim Abbas Hussain
+	A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay	2015	Sergiy Reutskiy
+	A New Approximation Method for Multi-Pantograph Type Delay Differential Equations Using Boubaker Polynomials	2023	Şuayip Yüzbaşı Beyza Çetin
+	Differential Transformation method for solving Delay differential equations	2008	Habib Habib Latifizadeh
+	Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials	2012	S. Sedaghat Yadollah Ordokhani Mehdi Dehghan
+ PDF Chat	Application of a Novel Collocation Approach for Simulating a Class of Nonlinear Third-Order Lane–Emden Model	2022	Waleed Adel Zulqurnain Sabir Hadi Rezazadeh Abdullah Aldurayhim
+	OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR SOLVING MULTI-PANTOGRAPH TYPE DELAY DIFFERENTIAL EQUATIONS	2018	Nidal Anakira
+	Bernstein Collocation Approach for Solving Nonlinear Differential Equations with Delay and Anticipation	2022	V. Appalanaidu G.V.S.R. Deekshitulu
+	Two-Point Block Method in Variable Stepsize Technique for Solving Delay Differential Equations	2010	Fuziyah Ishak Ishak Zanariah Abdul Abdul Majid MOHAMED MOHAMED
+	A reliable scheme for nonlinear delay differential equations of pantograph-type	2023	Soniya Dhama

Works That Cite This (69)

Action	Title	Year	Authors
+	Morlet Wavelet Neural Network Investigations to Present the Numerical Investigations of the Prediction Differential Model	2023	Zulqurnain Sabir Adnène Arbi Atef F. Hashem M. A. Abdelkawy
+	Analytical Solution of Fractional-Order Lane-Emden Type Pantograph Delay Differential Equation	2024	Richard Olu Awonusika Oluwaseun Akinlo Mogbojuri
+	Design of Backpropagated Intelligent Networks for Nonlinear Second-Order Lane–Emden Pantograph Delay Differential Systems	2021	Imtiaz A. Khan Muhammad Asif Zahoor Raja Muhammad Abdul Rehman Khan Muhammad Shoaib Saeed Islam Zahir Shah
+ PDF Chat	Applications of the Bernoulli wavelet collocation method in the analysis of MHD boundary layer flow of a viscous fluid	2022	S. Kumbinarasaiah M. P. Preetham
+ PDF Chat	Fractional Pantograph Delay Equations Solving by the Meshless Methods	2023	Shefaa M. N. Jasim Ghada H. Ibraheem
+ PDF Chat	An Efficient Stochastic Numerical Computing Framework for the Nonlinear Higher Order Singular Models	2021	Zulqurnain Sabir Hafiz Abdul Wahab Shumaila Javeed Hacı Mehmet Başkonuş
+	Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations	2022	S. Kumbinarasaiah G. Manohara G. Hariharan
+	Computational intelligence approach using Levenberg–Marquardt backpropagation neural networks to solve the fourth-order nonlinear system of Emden–Fowler model	2021	Zulqurnain Sabir Mohamed R. Ali Muhammad Asif Zahoor Raja Muhammad Shoaib Rafaél Artidoro Sandoval Núñez R. Sadat
+	A superconvergent numerical method under the Fibonacci wavelets for solving the system of nonlinear singular Lane–Embden-type equations	2024	Vivek Vivek Manoj Kumar
+	An advance computational intelligent approach to solve the third kind of nonlinear pantograph Lane–Emden differential system	2022	Zulqurnain Sabir Muhammad Asif Zahoor Raja Mohamed R. Ali R. Sadat

Works Cited by This (48)

Action	Title	Year	Authors
+	THE EXACT SOLUTION OF DELAY DIFFERENTIAL EQUATIONS USING COUPLING VARIATIONAL ITERATION WITH TAYLOR SERIES AND SMALL TERM	2012	Yulita Molliq Rangkuti Mohd Salmi Md Noorani
+	Introduction to Nonlinear Differential and Integral Equations.	1964	P. E. Bedient Harold T. Davis
+	Solution of Nonlinear Second-Order Pantograph Equations via Differential Transformation Method	2009	Nemat Abazari Reza Abazari
+	Delay differential equations with applications in population dynamics	1993	Yang Kuang
+ PDF Chat	On Bounded Solutions of the Balanced Generalized Pantograph Equation	2008	Leonid V. Bogachev Gregory Derfel Stanislav Molchanov John Ochendon
+ PDF Chat	Procedure for Exact Solutions of Nonlinear Pantograph Delay Differential Equations	2014	Brahim Benhammouda
+	A new algorithm for solving differential equations of Lane–Emden type	2001	Abdul‐Majid Wazwaz
+	A solution to the Lane–Emden equation in the theory of stellar structure utilizing the Tau method	2012	A. Taghavi Stephen K. Pearce
+ PDF Chat	Approximation Algorithm for a System of Pantograph Equations	2012	Sabir Widatalla M. A. Koroma
+	Accelerated power series solution of polytropic and isothermal gas spheres	2004	Mohamed I. Nouh