Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials
type: Item
instance of: scholarly article
title: Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials
author: Hitesh Bansu
author: Sushil Kumar
published in: International Journal of Applied and Computational Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 81-XX
zbMATH DE Number: 7489980
zbMATH Keywords: fractional Klein-Gordon equation
zbMATH Keywords: collocation method
zbMATH Keywords: Chebyshev polynomial
zbMATH Keywords: radial basis function
zbMATH Keywords: Kronecker product
MaRDI profile type: Publication
full work available at URL: s40819-021-01139-7
OpenAlex ID: W3199032845
cites work: Second-order explicit difference schemes for the space fractional advection diffusion equation
cites work: Numerical solutions of fractional advection–diffusion equations with a kind of new generalized fractional derivative
cites work: Q3081786
cites work: Differential transform method for solving the linear and nonlinear Klein-Gordon equation
cites work: The decomposition method for studying the Klein-Gordon equation
cites work: Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
cites work: A new analytical solution of Klein–Gordon equation with local fractional derivative
cites work: Solution of Initial and Boundary Value Problems by an Effective Accurate Method
cites work: High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation
cites work: An accurate numerical method for solving the linear fractional Klein-Gordon equation
cites work: Guest Editorial for the TOMACS Special Issue on the Principles of Advanced Discrete Simulation (PADS)
cites work: Numerical solution of the linear time fractional Klein-Gordon equation using transform based localized RBF method and quadrature
cites work: Fourth-order compact solution of the nonlinear Klein-Gordon equation
cites work: Q5358874
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Improved error bounds for scattered data interpolation by radial basis functions
cites work: Q4026010
cites work: Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids
cites work: Numerical solution of space and time fractional telegraph equation: a meshless approach
cites work: Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials
cites work: On the history of multivariate polynomial interpolation
cites work: High-order difference scheme for the solution of linear time fractional Klein-Gordon equations
DOI: 10.1007/S40819-021-01139-7
description: scientific article; zbMATH DE number 7489980