Application of iteration functions to elliptic partial differential equations

DOI10.1016/0898-1221(88)90144-7zbMath0655.65114OpenAlexW2093443085MaRDI QIDQ1109538

Ram P. Manohar, Tat Y. Ngai

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90144-7

zbMATH Keywords

algorithmcomparison of methodsnumerical examplesiteration functions

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• On improving an approximate solution of a functional equation by deferred corrections
• High-order methods for elliptic equations with variable coefficients
• High accuracy finite difference approximation to solutions of elliptic partial differential equations
• On a Class of High Order Methods for Inverting Matrices
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
• The numerical solution of elliptic differential equations when the boundary conditions involve a derivative
• Bounds for the Solution of a Nonlinear Boundary Value Problem in Heat Diffusion

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