An unconditionally stable parallel difference scheme for telegraph equation

DOI10.1155/2009/969610zbMath1181.78018OpenAlexW2012168606WikidataQ58649578 ScholiaQ58649578MaRDI QIDQ1036512

Reza Abazari, Abdollah Borhanifar

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45930

zbMATH Keywords

telegraph equationSaul'yev method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Parallel numerical computation (65Y05)

Related Items (13)

Laplace transform collocation method for solving hyperbolic telegraph equation ⋮ Explicit solution of telegraph equation based on reproducing kernel method ⋮ High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation ⋮ The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations ⋮ Numerical solution of telegraph equation using interpolating scaling functions ⋮ A new class of difference methods with intrinsic parallelism for Burgers-Fisher equation ⋮ Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM ⋮ Homotopy Padé method for solving second-order one-dimensional telegraph equation ⋮ Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation ⋮ An efficient alternating direction explicit method for solving a nonlinear partial differential equation ⋮ A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions ⋮ Parallel implementation of 2-D telegraphic equation on MPI/PVM cluster ⋮ A new treatment based on hybrid functions to the solution of telegraph equations of fractional order

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