Numerical solution of second-order one-dimensional hyperbolic equation by exponential B-spline collocation method

DOI10.1134/S1995423917020070zbMath1399.65049OpenAlexW2620650116WikidataQ115525830 ScholiaQ115525830MaRDI QIDQ5374077

Rajni Arora, Swarn Singh, Suruchi Singh

Publication date: 6 April 2018

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995423917020070

zbMATH Keywords

damped wave equation telegraphic equation unconditionally stable method tri-diagonal solver exponential B-spline method SSPRK(2,2)

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

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Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method ⋮ On an iterative method for solution of direct problem for nonlinear hyperbolic differential equations ⋮ Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation ⋮ Generalized spline interpolation of functions with large gradients in boundary layers ⋮ Cubic B-spline collocation method on non-uniform mesh for solving non-linear parabolic partial differential equation ⋮ An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation ⋮ Cubic B-spline method for non-linear sine-Gordon equation

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