A modification of pseudo-spectral method for solving a linear ODEs with singularity

Babolian, E.; Bromilow, M.; England, R. and Saravi, M. (2007). A modification of pseudo-spectral method for solving a linear ODEs with singularity. Applied Mathematics and Computation, 188(2) pp. 1260–1266.

DOI: https://doi.org/10.1016/j.amc.2006.10.079

Abstract

In this paper, first we introduce, briefly, pseudo-spectral method for numerical solution of ODE’s and focus on those problems in which some of coefficient functions or solution function are singular. Then, by expressing weak and strong aspects of spectral methods to solve these kind of problems, a modified pseudo-spectral method which is more efficient than other spectral methods is suggested. We compare the methods with some numerical examples.

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About

• Item ORO ID
• 23394
• Item Type
• Journal Item
• ISSN
• 0096-3003
• Keywords
• spectral method; ODE; singularity; pseudo-spectral method
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2006 Elsevier Inc.
• Depositing User
• Mick Bromilow