A Fourier method for initial value problems with mixed boundary conditions

DOI10.1016/0898-1221(87)90152-0zbMath0635.65121OpenAlexW1989238062MaRDI QIDQ1097663

M. G. El Sheikh, Ulrich Eckhardt

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90152-0

zbMATH Keywords

heat equationpolar coordinatesFourier methodDuhamel's principleseries containing trigonometric and Bessel functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05)

Related Items (8)

The estimation of the error resulting due to the truncation applied to homogeneous integral equations with Cauchy's kernel ⋮ The finite mixed Sturm-Liouville problems of the Dirichlet-Newton type ⋮ The unbounded solution of a periodic mixed Sturm-Liouville problem in an infinite strip for the Laplacian ⋮ The justification of the truncation applied to homogeneous integral equations with Cauchy's kernel ⋮ The integral equation formulation of mixed finite time-dependent elastic problems ⋮ Harmonic solutions of a mixed boundary problem arising in the modeling of macromolecular transport into vessel walls ⋮ The method of integral equation formulation and the unbounded solutions of elastic contact problems ⋮ The unbounded normal stress of a contact problem for a cylinder

Cites Work

• A Note on some Mixed Boundary Value Problems for the Heat Equation
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