Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D

DOI10.1016/j.camwa.2017.02.006zbMath1372.65298OpenAlexW2589480502MaRDI QIDQ2402002

Mohamad Ghasemi

Publication date: 6 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.006

zbMATH Keywords

algorithmnumerical examplebiharmonic equationerror boundnonlinear boundary value problemsPoisson equationB-splinedifferential quadrature methodmulti-dimensional PDEs

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Higher-order elliptic equations (35J30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

A new structure to \(n\)-dimensional trigonometric cubic B-spline functions for solving \(n\)-dimensional partial differential equations ⋮ A new efficient DQ algorithm for the solution of elliptic problems in higher dimensions ⋮ On n‐dimensional quadratic <scp>B‐splines</scp> ⋮ Wavelet Galerkin method for fourth-order multi-dimensional elliptic partial differential equations ⋮ On the numerical solution of high order multi-dimensional elliptic PDEs

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