Numerical solution of eigenvalue problems for partial differential equations with the Tau-lines method

✍ Scribed by K.M. Liu; E.L. Ortiz

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 810 KB
• Volume: 12
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(86)90239-7

✦ Synopsis

We discuss a hybrid approach which uses the Tau Method in combination with the Method of Lines and treat a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients, on rectangular or circular domains and with the eigenvalue parameters entering in the equation or in the boundary conditions. We obtain results of considerable accuracy which compare favourably with those published in the very recent literature and obtained by using advanced formulations of the boundary integral equation method or the multigrid method.