Modification of Block Pulse Functions and their application to solve numerically Volterra integral equation of the first kind

In this paper a modification of Block Pulse Functions is introduced and used to solve Volterra integral equation of the first kind. Some theorems are included to show convergence and advantage of the method. Some examples show accuracy of the method.

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2011-06, Vol.16 (6), p.2469-2477
Main Authors: Maleknejad, K., Rahimi, B.
Format: Article
Language:English
Subjects:
Accuracy
Block Pulse Functions
Blocking
Computer simulation
Convergence
Function expansion
Mathematical analysis
Mathematical models
Nonlinearity
Numerical solution
Parallel programming
Theorems
Volterra integral equations
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Description
Summary:In this paper a modification of Block Pulse Functions is introduced and used to solve Volterra integral equation of the first kind. Some theorems are included to show convergence and advantage of the method. Some examples show accuracy of the method.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.09.032