Fourier solution of the wave equation for a star-like-shaped vibrating membrane

DOI10.1016/j.camwa.2009.07.060zbMath1189.35168OpenAlexW1989886638MaRDI QIDQ980331

Pierpaolo Natalini, Diego Caratelli, Paolo Emilio Ricci

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.060

zbMATH Keywords

wave equationinitial-value problemsBessel functionsstar-like domain

Mathematics Subject Classification ID

Wave equation (35L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Rational Mechanics and Science Rationnelle Unique ⋮ Multi-parameter Mathieu, and alternating Mathieu series ⋮ Gielis' superformula and regular polygons

Cites Work

• Solution of the Dirichlet problem for the Laplace equation.
• On convergence and growth of partial sums of Fourier series
• Solution of the dirichlet problem for the Laplace equation in irregular regions: Comparison of different methods
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type
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