Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials

DOI10.1007/S40819-021-01139-7OpenAlexW3199032845MaRDI QIDQ2114663

Hitesh Bansu, Sushil Kumar

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01139-7

zbMATH Keywords

collocation methodradial basis functionKronecker productChebyshev polynomialfractional Klein-Gordon equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Quantum theory (81-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation
• Second-order explicit difference schemes for the space fractional advection diffusion equation
• Differential transform method for solving the linear and nonlinear Klein-Gordon equation
• Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
• Fourth-order compact solution of the nonlinear Klein-Gordon equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The decomposition method for studying the Klein-Gordon equation
• On the history of multivariate polynomial interpolation
• Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids
• Numerical solution of the linear time fractional Klein-Gordon equation using transform based localized RBF method and quadrature
• Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials
• Numerical solution of space and time fractional telegraph equation: a meshless approach
• Numerical solutions of fractional advection–diffusion equations with a kind of new generalized fractional derivative
• High‐order difference scheme for the solution of linear time fractional klein–gordon equations
• An accurate numerical method for solving the linear fractional Klein-Gordon equation
• Improved error bounds for scattered data interpolation by radial basis functions
• Solution of Initial and Boundary Value Problems by an Effective Accurate Method
• Guest Editorial for the TOMACS Special Issue on the Principles of Advanced Discrete Simulation (PADS)
• A new analytical solution of Klein–Gordon equation with local fractional derivative

This page was built for publication: Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials