Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems (Q6143065)

scientific article; zbMATH DE number 7793575

Language	Label	Description	Also known as
English	Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems	scientific article; zbMATH DE number 7793575

Statements

instance of

scholarly article

0 references

title

Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems (English)

0 references

0 references

0 references

Communications in Nonlinear Science and Numerical Simulation

0 references

publication date

23 January 2024

0 references

zbMATH Keywords

time-fractional mixed diffusion-wave equation

0 references

weak regularity

0 references

graded mesh

0 references

ADI scheme

0 references

stability

0 references

numerical experiments

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1016/j.cnsns.2023.107769

0 references

cites work

Q4250595

0 references

Q2735592

0 references

Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

0 references

Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

0 references

Solving nonlinear fractional partial differential equations using the homotopy analysis method

0 references

Numerical schemes with convergence for generalized fractional integro-differential equations

0 references

The short memory principle for solving Abel differential equation of fractional order

0 references

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

0 references

Fractional differentiation matrices with applications

0 references

A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation

0 references

High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II

0 references

Some high order formulae for approximating Caputo fractional derivatives

0 references

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

0 references

Numerical methods for fractional partial differential equations

0 references

A numerical method for the variable-order time-fractional wave equations based on the H2N2 approximation

0 references

Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems

0 references

A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models

0 references

A fully discrete difference scheme for a diffusion-wave system

0 references

A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

0 references

A second-order \(L2\)-\(1_\sigma\) Crank-Nicolson difference method for two-dimensional time-fractional wave equations with variable coefficients

0 references

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

0 references

A new difference scheme for the time fractional diffusion equation

0 references

A fourth order accurate numerical method for non-linear time fractional reaction-diffusion equation on a bounded domain

0 references

Q4438485

0 references

Solution for a fractional diffusion-wave equation defined in a bounded domain

0 references

An RBF based finite difference method for the numerical approximation of multi-term nonlinear time fractional two dimensional diffusion-wave equation

0 references

Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type

0 references

Semi-discrete finite-element approximation of nonlocal hyperbolic problem

0 references

A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations

0 references

A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation

0 references

Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations

0 references

Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation

0 references

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

0 references

An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation

0 references

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.CNSNS.2023.107769

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6143065