Numerical solution of nonlinear sine-Gordon equation by modified cubic B-spline collocation method

DOI10.1155/2014/343497zbMath1300.65073OpenAlexW2126126062WikidataQ59050301 ScholiaQ59050301MaRDI QIDQ457907

Rachna Bhatia, Ramesh Chand Mittal

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/343497

zbMATH Keywords

finite elementsnumerical experimentscubic B-spline collocation methodnonlinear sine-Gordon equation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (14)

A SPLINE-BASED DIFFERENTIAL QUADRATURE APPROACH TO SOLVE SINE-GORDON EQUATION IN ONE AND TWO DIMENSION ⋮ Numerical solution of nonlinear system of Klein–Gordon equations by cubic B-spline collocation method ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation ⋮ A robust scheme based on novel‐operational matrices for some classes of time‐fractional nonlinear problems arising in mechanics and mathematical physics ⋮ RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations ⋮ Unnamed Item ⋮ Higher order scheme for two-dimensional inhomogeneous sine-Gordon equation with impulsive forcing ⋮ Unnamed Item ⋮ Legendre spectral element method for solving sine-Gordon equation ⋮ Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method ⋮ Numerical study of reaction diffusion Fisher's equation by fourth order cubic B-spline collocation method ⋮ On spatio-temporal dynamics of sine-Gordon soliton in nonlinear non-homogeneous media using fully implicit spectral element scheme ⋮ Cubic B-spline method for non-linear sine-Gordon equation ⋮ A new efficient fourth order collocation scheme for solving sine-Gordon equation

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