Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions

DOI10.1016/J.AMC.2011.03.129zbMath1225.65105OpenAlexW2016649961MaRDI QIDQ546056

Kun Gou, Bo Sun

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.129

zbMATH Keywords

error estimatesnumerical examplesRunge-Kutta methodimpedance boundary conditionGoursat problemtriangular domain

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

A radial basis function method for fractional Darboux problems ⋮ Notes on the complete elliptic integral of the first kind ⋮ A numerical method for solving a Goursat-Cauchy boundary value problem ⋮ Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean ⋮ A note on generalized convex functions ⋮ Some new fractional integral inequalities for exponentially \(m\)-convex functions via extended generalized Mittag-Leffler function ⋮ Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications ⋮ A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS

Cites Work

• The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem
• Numerical solution of the Goursat problem by a nonlinear trapezoidal formula
• On the numerical solution of the Goursat problem
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Cubature method for the numerical solution of the characteristic initial value problem

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