Closed form numerical solutions of variable coefficient linear second-order elliptic problems

DOI10.1016/j.amc.2014.04.025zbMath1337.65135OpenAlexW2037823711MaRDI QIDQ275182

Rafael Company, Lucas Jodar, M. C. Casabán

Publication date: 25 April 2016

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

Full work available at URL: http://hdl.handle.net/10251/60297

zbMATH Keywords

consistencyclosed form numerical solutionsdiscrete Sturm-Liouville problemsdiscrete variable separated methodexplicit difference schemevariable coefficient linear elliptic problems

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme
• A mixed finite element method for fourth order elliptic equations with variable coefficients
• A new numerical approach to solve an elliptic equation
• A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces
• Convergence of the compact finite difference method for second-order elliptic equations
• High-order finite difference schemes for elliptic problems with intersecting interfaces
• Numerical solution of a transformed parabolic equation
• Finite elements for elliptic problems with wild coefficients
• A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation
• A one-stage meshless method for nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients
• Computing the variable coefficient telegraph equation using a discrete eigenfunctions method
• Lyapunov matrix equations in system stability and control.
• Constructing unconditionally time-stable numerical solutions for mixed parabolic problems
• The method of approximate fundamental solutions (MAFS) for elliptic equations of general type with variable coefficients
• Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients

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