Numerical Experiments on Eigenvalues of Weakly Singular Integral Equations Using Product Simpson's Rule

• Main Authors: Razali, Mohamad Rashidi, Mohamed, M. S. Nasser
• Format: Article
• Language: English
• Published: Department of Mathematics, Faculty of Science 2002
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/2435/1/tryversion2007_NumericalExperimentsonEigenvalues.pdf; http://eprints.utm.my/id/eprint/2435/; http://www.fs.utm.my/matematika/content/view/65/31/

This paper discusses the use of Product Simpson’s rule to solve the integral equation eigenvalue problem f(x) = R 1−1 k(|x − y|)f(y)dy where k(t) = ln|t| or k(t) = t−, 0 < < 1, , f and are unknowns which we wish to obtain. The function f(y) in the integral above is replaced by an int...