Journal
APPLIED MATHEMATICAL MODELLING
Volume 34, Issue 2, Pages 400-406Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2009.04.013
Keywords
System of Volterra integral equations; Simpson's rule; Block by block method
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The approach given in this paper leads to numerical methods for solving system of Volterra integral equations which avoid the need for special starting procedures. The method has also the advantages of simplicity of application and at least four order of convergence which is easy to achieve. Also, at each step we get four unknowns simultaneously. A convergence theorem is proved for the described method. Finally numerical examples presented to certify convergence and accuracy of the method. (c) 2009 Elsevier Inc. All rights reserved.
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