GALERKIN-FEM FOR OBTAINING THE NUMERICAL SOLUTION OF THE LINEAR FRACTIONAL KLEIN-GORDON EQUATION

DOI10.11948/2019.261zbMath1468.65196OpenAlexW2913800339MaRDI QIDQ5859339

Khadijah M. Abualnaja, M. M. Khadr

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2019.261

zbMATH Keywords

stability analysisGalerkin finite element methodquadratic B-spline functionsfractional Klein-Gordon equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fractional partial differential equations (35R11)

Related Items (max. 100)

Petrov-Galerkin approximation of time-fractional coupled Korteweg-de Vries equation for propagation of long wave in shallow water ⋮ Unnamed Item ⋮ Mittag–Leffler collocation optimization method for studying a physical problem in fluid flow with fractional derivatives ⋮ A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives ⋮ A spectral collocation method for fractional chemical clock reactions ⋮ DEVELOPMENT AND ANALYSIS OF NEW APPROXIMATION OF EXTENDED CUBIC B-SPLINE TO THE NONLINEAR TIME FRACTIONAL KLEIN–GORDON EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques
• A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains
• On the numerical solutions for the fractional diffusion equation
• A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
• Implicit finite difference approximation for time fractional diffusion equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations
• A numerical technique for solving fractional variational problems
• Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations
• FINITE ELEMENT ALGORITHM BASED ON HIGH-ORDER TIME APPROXIMATION FOR TIME FRACTIONAL CONVECTION-DIFFUSION EQUATION
• THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHRÖDINGER EQUATIONS IN PLASMA PHYSICS

This page was built for publication: GALERKIN-FEM FOR OBTAINING THE NUMERICAL SOLUTION OF THE LINEAR FRACTIONAL KLEIN-GORDON EQUATION