A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method

RC Mittal, R Bhatia - Applied Mathematics and Computation, 2014 - Elsevier
The present paper uses a relatively new approach and methodology to solve second order
two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline …

Cubic B‐spline differential quadrature methods and stability for Burgers' equation

A Korkmaz, İ Dağ - Engineering Computations, 2013 - emerald.com
Purpose–The purpose of this paper is to simulate numerical solutions of nonlinear Burgers'
equation with two well‐known problems in order to verify the accuracy of the cubic B‐spline …

The numerical solution of Fokker–Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa׳ s approach and Galerkin method

M Dehghan, V Mohammadi - Engineering Analysis with Boundary …, 2014 - Elsevier
This paper describes two numerical methods based on radial basis functions (RBFs) for
solving the time-dependent linear and nonlinear Fokker–Planck equations in two …

Radial basis functions methods for solving Fokker–Planck equation

S Kazem, JA Rad, K Parand - Engineering Analysis with Boundary …, 2012 - Elsevier
In this paper two numerical meshless methods for solving the Fokker–Planck equation are
considered. Two methods based on radial basis functions to approximate the solution of …

[HTML][HTML] Cubic spline solutions of the ninth order linear and non-linear boundary value problems

XZ Zhang, A Khalid, M Inc, A Rehan, KS Nisar… - Alexandria Engineering …, 2022 - Elsevier
A lot of numerical formulations of physical phenomena contain 9 th-order BVPs. The
presented probe intends to consider the spline solutions of the 9 th-order boundary value …

[HTML][HTML] Analytical solution for the Fokker–Planck equation by differential transform method

S Hesam, AR Nazemi, A Haghbin - Scientia Iranica, 2012 - Elsevier
In this paper, a relatively recent method, namely the Differential Transform Method (DTM), is
applied to devise a simple scheme for solving the Fokker–Planck equation and some similar …

Numerical solution of non-linear Fokker–Planck equation using finite differences method and the cubic spline functions

B Sepehrian, MK Radpoor - Applied mathematics and computation, 2015 - Elsevier
In this paper we proposed a finite difference scheme for solving the nonlinear Fokker–
Planck equation. We apply a finite difference approximation for discretizing spatial …

A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

NM Yağmurlu, AS Karakaş - Computational Methods for …, 2022 - cmde.tabrizu.ac.ir
In the present study, the Modified Equal Width (MEW) wave equation is going to be solved
numerically by presenting a new technique based on the collocation finite element method …

Numerical solutions of two-dimensional Burgers' equations using modified Bi-cubic B-spline finite elements

RC Mittal, A Tripathi - Engineering Computations, 2015 - emerald.com
Purpose–The purpose of this paper is to develop an efficient numerical scheme for non-
linear two-dimensional (2D) parabolic partial differential equations using modified bi-cubic B …

A two-dimensional Chebyshev wavelets approach for solving the Fokker-Planck equations of time and space fractional derivatives type with variable coefficients

J **e, Z Yao, H Gui, F Zhao, D Li - Applied Mathematics and Computation, 2018 - Elsevier
In the current study, we consider the numerical solutions of the Fokker-Planck equations of
time and space fractional derivative type with variable coefficients. The proposed method is …