Infinite systems for a biharmonic problem in a rectangle

DOI10.1098/rspa.1997.0115zbMath0891.31003OpenAlexW1983177352MaRDI QIDQ4376584

Alexander Gomilko, Viatcheslav V. Meleshko

Publication date: 6 July 1998

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0115

zbMATH Keywords

convergenceinfinite system of linear algebraic equationsaccuracy of numerical resultsbending of a clumped thin rectangular platebiharmonic problems in a rectangular regioncreeping of viscous fluidequilibrium of an elastic rectangleMellin's integral transforms

Mathematics Subject Classification ID

Plates (74K20) Capillarity (surface tension) for incompressible viscous fluids (76D45) Fourier series and coefficients in several variables (42B05) Linear equations (linear algebraic aspects) (15A06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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