Mathematical Methods in Physics and Engineering with Mathematica
DOI10.1201/9780203502600zbMath1044.65001OpenAlexW1431505211MaRDI QIDQ4709704
Publication date: 23 June 2003
Full work available at URL: https://doi.org/10.1201/9780203502600
collocation methodnumerical exampleseigenvaluesnonlinear differential equationsconformal mappingtextbookboundary value problemssolitonsseparabilitysoftware packagesLaplace equationHelmholtz equationboundary problemMathematicaPoisson equationsfree boundariesd'Alembert wave equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Schwarz-Christoffel-type mappings (30C30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)
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