Comparative study between optimal homotopy asymptotic method and perturbation-iteration technique for different types of nonlinear equations
type: Item
instance of: scholarly article
title: Comparative study between optimal homotopy asymptotic method and perturbation-iteration technique for different types of nonlinear equations
zbMATH Open document ID: 1397.65021
author: Sinan Deniz
author: Necdet Bildik
publication date: 2018-10-05T00:00:00Z
Mathematics Subject Classification ID: 65C99
Mathematics Subject Classification ID: 47H14
Mathematics Subject Classification ID: 81Q15
zbMATH DE Number: 6947903
zbMATH Keywords: optimal homotopy asymptotic method
zbMATH Keywords: perturbation-iteration method
zbMATH Keywords: nonlinear differential equation
MaRDI profile type: Publication
full work available at URL: s40995-016-0039-2
OpenAlex ID: W2411146510
cites work: A review of the decomposition method in applied mathematics
cites work: New perturbation-iteration solutions for Bratu-type equations
cites work: The solution of multipoint boundary value problems by the optimal homotopy asymptotic method
cites work: Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method
cites work: Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
cites work: Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method
cites work: The numerical solution of multidimensional partial differential equations by the decomposition method
cites work: New perturbation iteration solutions for Fredholm and Volterra integral equations
cites work: A comparison of numerical and analytical methods for the solution of a Riccati Equation
cites work: On the solutions of fractional Burgers-Fisher and generalized Fisher's equations using two reliable methods
cites work: Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
cites work: The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves
cites work: An investigation with Hermite wavelets for accurate solution of fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
cites work: Periodic solutions of Duffing equation with strong nonlinearity
cites work: An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
cites work: He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
cites work: A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves
cites work: Perturbation-iteration method for first-order differential equations and systems
DOI: 10.1007/S40995-016-0039-2
published in: Iranian Journal of Science and Technology, Transactions A: Science
description: scientific article; zbMATH DE number 6947903