Numerical solution of integral equations system of the second kind by Block–Pulse functions

This paper endeavors to formulate Block–Pulse functions to propose solutions for the Fredholm integral equations system. To begin with we describe the characteristic of Block–Pulse functions and will go on to indicate that through this method a system of Fredholm integral equations can be reduced to...

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Vydáno v:Applied mathematics and computation Ročník 166; číslo 1; s. 15 - 24
Hlavní autoři: Maleknejad, K., Shahrezaee, M., Khatami, H.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY Elsevier Inc 06.07.2005
Elsevier
Témata:
Block–Pulse functions
Exact sciences and technology
Integral equations
Integral equations, integral transforms
Integral transforms, operational calculus
Linear Fredholm integral equations system
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operational matrix
Product operation
Sciences and techniques of general use
Product operation
Operational matrix
Linear Fredholm integral equations system
Block–Pulse functions
Numerical integration
Numerical linear algebra
Operational calculus
Block -Pulse functions
Fredholm equation
Numerical approximation
Characteristic function
Direct method
Block pulse function
Numerical analysis
Linear equation
Matrix inversion
Applied mathematics
Numerical solution
Algebraic equation
Integral equation
ISSN:0096-3003, 1873-5649
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Popis
Shrnutí:This paper endeavors to formulate Block–Pulse functions to propose solutions for the Fredholm integral equations system. To begin with we describe the characteristic of Block–Pulse functions and will go on to indicate that through this method a system of Fredholm integral equations can be reduced to an algebraic equation. Numerical examples presented to illustrate the accuracy of the method.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2004.04.118