Study of convergence of reduced differential transform method for different classes of differential equations
type: Item
instance of: scholarly article
title: Study of convergence of reduced differential transform method for different classes of differential equations
zbMATH Open document ID: 1481.35117
DOI: 10.1155/2021/6696414
author: Seyyedeh Roodabeh Moosavi Noori
author: Nasir Taghizadeh
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: In this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numerically and analytically. Simple approaches of reduced differential transform method and the convergence results for different classes of differential equations such as linear and nonlinear ordinary, partial, fractional, and system of differential equations are briefly discussed. Eight examples are checked to confirm convergence results as well as the strength and efficiency of the method.
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35G50
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7453308
zbMATH Keywords: linear and nonlinear equations and systems
Wikidata QID: Q115243625
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6696414
OpenAlex ID: W3157810258
cites work: Q5883258
cites work: Reduced differential transform method for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations
cites work: Conformable variational iteration method, conformable fractional reduced differential transform method and conformable homotopy analysis method for non-linear fractional partial differential equations
cites work: Approximate analytical solutions of fractional perturbed diffusion equation by reduced differential transform method and the homotopy perturbation method
cites work: Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method
cites work: A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation
cites work: A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method
cites work: Reduced differential transform method for solving parabolic-like and hyperbolic-like equations
cites work: Reduced differential transform method for solving time and space local fractional partial differential equations
cites work: Generalized differential transform method to space-time fractional telegraph equation
cites work: On the (N+1)‐dimensional local fractional reduced differential transform method and its applications
cites work: Numerical solutions and solitary wave solutions of fractional KDV equations using modified fractional reduced differential transform method
cites work: Application of natural transform method to fractional pantograph delay differential equations
cites work: Q5210468
cites work: Solutions of integral and integro-differential equation systems by using differential transform method
cites work: Q3300200
cites work: Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations
cites work: Numerical approaches to system of fractional partial differential equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
cites work: Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
cites work: Solutions of fractional gas dynamics equation by a new technique
cites work: Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform
cites work: A new approach for solving a system of fractional partial differential equations
cites work: Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
description: scientific article; zbMATH DE number 7453308