Solving the equation ?uxx ? ?uyy =f(x, y, u) by anO(h4) finite difference method

DOI<395::AID-NUM4>3.0.CO;2-P 10.1002/1098-2426(200007)16:4<395::AID-NUM4>3.0.CO;2-PzbMath0958.65107OpenAlexW1994574172MaRDI QIDQ4500703

Tadeusz Styś, Teko Ganakgomo Motsumi, E. Lungu

Publication date: 22 November 2000

Full work available at URL: https://doi.org/10.1002/1098-2426(200007)16:4<395::aid-num4>3.0.co;2-p

zbMATH Keywords

convergencenumerical examplefinite difference methodGauss eliminationsparse matrixelliptic equationsemi-linear equationimplicit iterative methodMathematica modulespingy rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

A higher accuracy finite difference method for an elliptic equation of order four., Convergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equation

Uses Software

• Mathematica

Cites Work

• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type