A higher accuracy finite difference method for an elliptic equation of order four.

DOI10.1016/j.cam.2003.09.012zbMath1084.65103OpenAlexW2159505101MaRDI QIDQ1426808

Tadeusz Styś

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.012

zbMATH Keywords

convergencenumerical examplesimplicit iterative methodbiharmonic Poisson equationMathematica module solveBHPEQ

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• An optimal algorithm for certain boundary value problem
• Embedded eighth order methods for the numerical solution of the Schrödinger equation
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• A finite difference method for the numerical solution of fourth-order differential equations with engineering applications
• Solving the equation ?uxx ? ?uyy =f(x, y, u) by anO(h4) finite difference method
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type