Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach

DOI10.1080/23311835.2017.1382061zbMath1427.65295arXiv1510.09051OpenAlexW2963962478MaRDI QIDQ5193457

Tahir Nazir, Muhammad Abbas, Muhammad Yaseen

Publication date: 10 September 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09051

zbMATH Keywords

stabilitycubic trigonometric B-spline basis functionscubic trigonometric B-spline collocation methodsecond-order one-dimensional telegraph equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Finite difference methods applied to problems in solid mechanics (74S20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Least square homotopy solution to hyperbolic telegraph equations: multi-dimension analysis ⋮ Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions ⋮ High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation ⋮ Numerical solution of space and time fractional telegraph equation: a meshless approach ⋮ A numerical scheme for the wave simulations of the Kuramoto-Sivashinsky model via quartic-trigonometric tension B-spline ⋮ Numerical solution of one-dimensional hyperbolic telegraph equation using collocation of cubic B-splines ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation ⋮ Numerical approximation of fractional telegraph equation via Legendre collocation technique

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