Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation
type: Item
instance of: scholarly article
title: Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation
zbMATH Open document ID: 1518.35639
author: Sandip Maji
author: Srinivasan Natesan
published in: Applied Numerical Mathematics
publication date: 2023-06-20T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7699024
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Sumudu transformation
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: cubic spline
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: j.apnum.2022.12.013
OpenAlex ID: W4313420955
cites work: Solving frontier problems of physics: the decomposition method
cites work: Sumudu transform fundamental properties investigations and applications
cites work: Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order
cites work: Convergence of Adomian's Method
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Analytical solution of the linear fractional differential equation by Adomian decomposition method
cites work: Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
cites work: Q3002412
cites work: The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations
cites work: Q5699297
cites work: Sumudu decomposition method for nonlinear equations
cites work: Fractional differentiation matrices with applications
cites work: Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
cites work: Maximum principle for the generalized time-fractional diffusion equation
cites work: Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
cites work: Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations
cites work: Q4233638
cites work: Terminal value problems for the nonlinear systems of fractional differential equations
cites work: Time Discretization of an Integro-Differential Equation of Parabolic Type
cites work: Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation
cites work: Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: Sumudu transform: a new integral transform to solve differential equations and control engineering problems
cites work: Homogenization in Fractional Elasticity
cites work: An efficient cubic spline approximation for variable-order fractional differential equations with time delay
cites work: The use of cubic splines in the numerical solution of fractional differential equations
DOI: 10.1016/J.APNUM.2022.12.013
description: scientific article; zbMATH DE number 7699024