On the numerical solution of the Goursat problem

DOI10.1016/0096-3003(93)90036-EzbMath0790.65090OpenAlexW2051533471MaRDI QIDQ1316113

Abdul-Majid Wazwaz

Publication date: 14 March 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90036-e

zbMATH Keywords

Goursat problemharmonic meantrapezoidal formula

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

A radial basis function method for fractional Darboux problems ⋮ A numerical method for solving a Goursat-Cauchy boundary value problem ⋮ The Signature Kernel Is the Solution of a Goursat PDE ⋮ Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions ⋮ The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem ⋮ Quantum time of arrival Goursat problem ⋮ A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS

Cites Work

• Unnamed Item
• A modified third order Runge-Kutta method
• Numerical solution of the Goursat problem by a nonlinear trapezoidal formula
• General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\)
• A Runge-Kutta Method for the Numerical Solution of the Goursat Problem in Hyperbolic Partial Differential Equations
• Cubature method for the numerical solution of the characteristic initial value problem
• A Note on Trapezoidal Methods for the Solution of Initial Value Problems

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