Fourier Series and Numerical Methods for Partial Differential Equations

DOI10.1002/9780470651384zbMath1206.65206OpenAlexW2495455204MaRDI QIDQ4933411

R. A. Bernatz

Publication date: 12 October 2010

Full work available at URL: https://doi.org/10.1002/9780470651384

zbMATH Keywords

convergencefinite element methodconservation lawsfinite difference methodeigenvaluestextbookerror boundeigenfunctionsSturm-Liouville problemsFourier seriesseparation of variablesfinite analytic methodalternating direction implicit (ADI) methodPoisson, heat and wave equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Heat equation (35K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (4)

Numerical differentiation by a Tikhonov regularization method based on the discrete cosine transform ⋮ A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation ⋮ Numerical solution of arbitrary-order linear partial differential equations using an optimal control technique ⋮ Optimal control of time delay systems via hybrid of block-pulse functions and orthonormal Taylor series

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