USING ELECTROMAGNETIC META-HEURISTIC ALGORITHM FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS

نویسنده:
, , , , ,
سال
: 2011
چکیده: Abstract. An efficient algorithm is proposed for solving nonlinear Fredholm

integral equations (NFIEs) using the Electromagnetic Meta-Heuristic

method (EM). For using this heuristic method, we first approximate a solution

for NFIE. By substitution of this solution in NFIE, we will encounter

an integral to compute. If this integral be computable, then we will have a

system of nonlinear of algebraic equations to solve. If we can not compute

this integral because of the integrand involves some unknowns, then we

choose a value for each constant and next we compute the integral. But the

question have is how do we select these values to achive a good solution for

the integral equations? To ensure this question we try to solve the problem

by EM method. For solving the system of nonlinear equations we proposed

a hybrid of the Newton-GMRES and EM methods. Some numerical examples

provided to show that the proposed algorithm can find solutions of

NFIEs in practical computation time.
کلیدواژه(گان): Key words and phrases,Electromagnetism Meta-Heuristic algorithm,Nonlinear Fredholm

integral equation,Systems of nonlinear equations,Newton-GMRES method,Collocation

method
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