A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

DOI10.4208/eajam.271120.310321zbMath1475.65088OpenAlexW3165121992MaRDI QIDQ5014279

No author found.

Publication date: 1 December 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.271120.310321

zbMATH Keywords

finite difference methodcombined compact difference methodnonlinear time fractional Klein-Gordon equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (5)

Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System ⋮ $L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients ⋮ Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates ⋮ Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation ⋮ A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations

Cites Work

• A fully discrete spectral method for the nonlinear time fractional Klein-Gordon equation
• Compact finite difference method for the fractional diffusion equation
• A three-point combined compact difference scheme
• Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
• Fourth‐order compact scheme for the one‐dimensional sine‐Gordon equation
• A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients
• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

This page was built for publication: A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations