Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term

DOI10.1007/s11075-016-0149-0zbMath1358.65067OpenAlexW2428920498MaRDI QIDQ509628

Jalil Rashidinia, Homa Zadvan

Publication date: 17 February 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0149-0

zbMATH Keywords

stabilitynumerical examplecollocationfinite differencesine-Gordon equationtwo-dimensional wave equationnonlinear source termnon-polynomial spline approximation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Numerical treatments of the nonlinear coupled time‐fractional Schrödinger equations ⋮ Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations ⋮ Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation ⋮ Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term ⋮ Generalized spline interpolation of functions with large gradients in boundary layers ⋮ Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation ⋮ Numerical solution of two and three dimensional time fractional damped nonlinear Klein-Gordon equation using ADI spectral element method

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