Numerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic spline (Q6117590)

scientific article; zbMATH DE number 7806632

Language	Label	Description	Also known as
English	Numerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic spline	scientific article; zbMATH DE number 7806632

Statements

instance of

scholarly article

0 references

title

Numerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic spline (English)

0 references

0 references

0 references

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

0 references

publication date

19 February 2024

0 references

zbMATH Keywords

fractional differential equation

0 references

numerical solution

0 references

parametric spline

0 references

quintic spline

0 references

sub-diffusion equation

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1002/zamm.201800094

0 references

cites work

The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

0 references

Q5699297

0 references

Q3864730

0 references

Q4233638

0 references

Advances in Fractional Calculus

0 references

Fractals and fractional calculus in continuum mechanics

0 references

The random walk's guide to anomalous diffusion: A fractional dynamics approach

0 references

A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term

0 references

A new difference scheme for the time fractional diffusion equation

0 references

Numerical simulation for the three-dimension fractional sub-diffusion equation

0 references

Compact finite difference method for the fractional diffusion equation

0 references

A compact finite difference scheme for the fractional sub-diffusion equations

0 references

The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain

0 references

Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence

0 references

A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

0 references

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

0 references

Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains

0 references

The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation

0 references

High-order numerical methods for solving time fractional partial differential equations

0 references

Error estimates of a high order numerical method for solving linear fractional differential equations

0 references

Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

0 references

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

0 references

Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method

0 references

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

0 references

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

0 references

Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation

0 references

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

0 references

A fully discrete difference scheme for a diffusion-wave system

0 references

A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

0 references

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

0 references

Too much regularity may force too much uniqueness

0 references

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

0 references

An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data

0 references

An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

0 references

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

0 references

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

0 references

An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

0 references

Q4438485

0 references

Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method

0 references

Fractional calculus -- a new approach to the analysis of generalized fourth-order diffusion-wave equations

0 references

Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

0 references

Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem

0 references

A mixed finite element method for a time-fractional fourth-order partial differential equation

0 references

Numerical solution of time-fractional fourth-order partial differential equations

0 references

Quintic spline technique for time fractional fourth-order partial differential equation

0 references

On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems

0 references

A compact finite difference scheme for the fourth-order fractional diffusion-wave system

0 references

A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system

0 references

Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

0 references

Parametric quintic-spline approach to the solution of a system of fourth-order boundary-value problems

0 references

A survey on parametric spline function approximation

0 references

Parametric spline functions for the solution of the one time fractional Burgers equation

0 references

Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations

0 references

A higher order non-polynomial spline method for fractional sub-diffusion problems

0 references

Q2794403

0 references

Q4003305

0 references

A new conservative finite difference scheme for the Rosenau equation

0 references

Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function

0 references

Identifiers

DOI

10.1002/zamm.201800094

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6117590