Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations (Q6638811)

scientific article; zbMATH DE number 7944856

Language	Label	Description	Also known as
English	Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations	scientific article; zbMATH DE number 7944856

Statements

instance of

scholarly article

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title

Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations (English)

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author

Zaid M. Odibat

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published in

Applied Numerical Mathematics

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publication date

14 November 2024

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zbMATH Keywords

initial-boundary value problem

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Klein-Gordon equation

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fractional differential equation

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Caputo derivative

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finite difference method

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predictor-corrector method

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Analysis of fractional differential equations

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A second-order accurate numerical method for the two-dimensional fractional diffusion equation

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New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations

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Numerical solution of distributed order fractional differential equations by hybrid functions

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Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials

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Legendre wavelets approach for numerical solutions of distributed order fractional differential equations

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Numerical approach for a class of distributed order time fractional partial differential equations

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A Legendre‐based approach of the optimized decomposition method for solving nonlinear Caputo‐type fractional differential equations

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Numerical methods for the solution of partial differential equations of fractional order.

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The BEM for numerical solution of partial fractional differential equations

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On the numerical solutions for the fractional diffusion equation

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

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Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation

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A linearization‐based approach of homotopy analysis method for non‐linear time‐fractional parabolic PDEs

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An optimal homotopy analysis transform method for handling nonlinear PDEs

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Q3961178

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New travelling wave solutions to the Boussinesq and the Klein-Gordon equations

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The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics

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An optimized decomposition method for nonlinear ordinary and partial differential equations

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A reliable treatment of homotopy perturbation method for Klein-Gordon equations

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An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation

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An efficient numerical scheme to solve fractional diffusion-wave and fractional Klein-Gordon equations in fluid mechanics

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Meshless numerical analysis of a class of nonlinear generalized Klein-Gordon equations with a well-posed moving least squares approximation

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A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions

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A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations

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Numerical solution of the nonlinear Klein-Gordon equation

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The numerical solution of the nonlinear Klein-Gordon and sine-Gordon equations using the Chebyshev tau meshless method

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An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation

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Numerical solution of time fractional nonlinear Klein-Gordon equation using sinc-Chebyshev collocation method

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Finite difference method for time-fractional Klein-Gordon equation on an unbounded domain using artificial boundary conditions

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Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics

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A study on fractional Klein Gordon equation with non-local and non-singular kernel

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A predictor-corrector approach for the numerical solution of fractional differential equations

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Short memory principle and a predictor-corrector approach for fractional differential equations

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On some explicit Adams multistep methods for fractional differential equations

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Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives

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A fast and high-order numerical method for nonlinear fractional-order differential equations with non-singular kernel

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A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation

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On the formulation of a predictor–corrector method to model IVPs with variable‐order Liouville–Caputo‐type derivatives

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.APNUM.2024.07.015

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Sitelinks

Mathematics(1 entry)

mardi Publication:6638811