Numerical solutions of the Laplace's equation

DOI10.1016/j.amc.2005.01.018zbMath1103.65336OpenAlexW2168870094MaRDI QIDQ2573588

Kamel Al-Khaled

Publication date: 22 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.018

zbMATH Keywords

Laplace equationAdomian decomposition methodNumerical experimentsSinc function

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

The decomposition method for linear, one-dimensional, time-dependent partial differential equations ⋮ The decomposition method for initial value problems

Cites Work

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• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to nonlinear equations
• Comparing numerical methods for Helmholtz equation model problem.
• A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
• Symmetrization of the Sinc-Galerkin Method with Block Techniques for Elliptic Equations
• Collocating Convolutions
• Numerical Solution of Singular Poisson Problems via the Sinc–Galerkin Method
• On the numerical treatment of singularities in solutions of laplace's equation
• Domain decomposition in conjunction with sinc methods for Poisson's equation

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