Improving convergence rate in the method of successive approximations
HTML articles powered by AMS MathViewer
- by James A. Pennline PDF
- Math. Comp. 37 (1981), 127-134 Request permission
Abstract:
An application of the method of successive approximations for obtaining the solution of a nonlinear integral equation arising from a two-point boundary value problem is illustrated. In particular, we show sufficient conditions under which the convergence rate of the sequence can be improved.References
-
R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysis, Vol. I, Clarendon Press, Oxford, London, 1975, pp. 101-239.
J. A. De Simone & J. A. Pennline, "A new asymptotic analysis of the nth order reaction-diffusion problem: Analytical and numerical studies," Math. Biosci., v. 40, 1978, pp. 303-318.
- Herbert B. Keller, Numerical methods for two-point boundary-value problems, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1968. MR 0230476
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 37 (1981), 127-134
- MSC: Primary 65R20; Secondary 34B15, 65L10
- DOI: https://doi.org/10.1090/S0025-5718-1981-0616365-8
- MathSciNet review: 616365