The extrapolation of stable finite difference schemes for first order hyperbolic equations

DOI10.1080/00207168208803306zbMath0485.65065OpenAlexW2054962524MaRDI QIDQ3945517

E. H. Twizell, Abdul Q. M. Khaliq

Publication date: 1982

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168208803306

zbMATH Keywords

numerical examplesextrapolationfirst order hyperbolic equationhigher order accuracyPade approximants to the exponential functioncentral difference formula

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Extrapolation to the limit, deferred corrections (65B05) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary value problems for linear first-order PDEs (35F15)

Related Items

Numerical approach for a class of distributed order time fractional partial differential equations ⋮ PARALLEL ALGORITHMS FOR SECOND-ORDER HYPERBOLIC EQUATIONS ⋮ Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations ⋮ The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices ⋮ Sequential and parallel methods for solving first-order hyperbolic equations ⋮ Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations ⋮ A difference scheme with high accuracy in time for fourth-order parabolic equations ⋮ Backward difference replacements of the space derivative in first-order hyperbolic equations

Cites Work

• One-step multiderivative methods for first order ordinary differential equations
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