A new approach for one-dimensional sine-Gordon equation
type: Item
instance of: scholarly article
title: A new approach for one-dimensional sine-Gordon equation
zbMATH Open document ID: 1422.65274
author: Ali Akgül
author: Mustafa Inc
author: Adem Kilicman
author: D. Baleanu
published in: Advances in Difference Equations
publication date: 2018-10-17T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 6957175
zbMATH Keywords: reproducing kernel method
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: bounded linear operator
zbMATH Keywords: homogenizing
MaRDI profile type: Publication
full work available at URL: s13662-015-0734-x
OpenAlex ID: W2222338976
Wikidata QID: Q59480605
cites work: Q4821339
cites work: Q3955785
cites work: High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
cites work: Q3158277
cites work: Q3569424
cites work: A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions
cites work: The boundary integral equation approach for numerical solution of the one-dimensional Sine-Gordon equation
cites work: A third order numerical scheme for the two-dimensional sine-Gordon equation
cites work: A numerical method for the one-dimensional sine-Gordon equation
cites work: A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
cites work: Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
cites work: The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
cites work: Q3637733
cites work: Theory of Reproducing Kernels
cites work: Q3633379
cites work: Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods
cites work: Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
cites work: Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space
cites work: Using reproducing kernel for solving a class of singularly perturbed problems
cites work: A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method
cites work: New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition
cites work: Reproducing kernel Hilbert space method for solving Bratu's problem
cites work: Explicit solution of telegraph equation based on reproducing kernel method
cites work: A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation
cites work: Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation
cites work: An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method
cites work: A numerical solution of the sine-Gordon equation using the modified decomposition method
DOI: 10.1186/S13662-015-0734-X
description: scientific article; zbMATH DE number 6957175