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Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

โœ Scribed by E.A. Galperin; E.J. Kansa; A. Makroglou; S.A. Nelson


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
444 KB
Volume
30
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


Nonlinear Volterra integral and integro differential equations with weakly-singular kernel are considered and solved numerically using nonlinear Mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.


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Extended backward differentiation method
โœ Athena Makroglou ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 401 KB

The numerical solution of first order Voiterra integro-differential equations of neutral type with continuous kernel is considered. Preliminary results from the application of extended backward differentiation methods are given and comparisons are made with Adams-Bashforth / Adams-Moulton predictor-