Numerical solution for special non-linear Fredholm integral equation by HPM

2008 ◽  
Vol 195 (2) ◽  
pp. 681-687 ◽  
Author(s):  
J. Biazar ◽  
H. Ghazvini
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Fredholm Integral Equation ◽  
Non Linear

Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet

2016 ◽  
Vol 14 (01) ◽  
pp. 1650004 ◽  
Author(s):  
M. Tahami ◽  
A. Askari Hemmat ◽  
S. A. Yousefi
Keyword(s):  
Integral Equation ◽  
Tensor Product ◽  
Numerical Solution ◽  
Fredholm Integral Equation ◽  
Fredholm Integral Equations ◽  
Wavelet Basis ◽  
Two Dimensional ◽  
Legendre Wavelets ◽  
Numerical Examples ◽  
One Dimensional

In one-dimensional problems, the Legendre wavelets are good candidates for approximation. In this paper, we present a numerical method for solving two-dimensional first kind Fredholm integral equation. The method is based upon two-dimensional linear Legendre wavelet basis approximation. By applying tensor product of one-dimensional linear Legendre wavelet we construct a two-dimensional wavelet. Finally, we give some numerical examples.

scholarly journals Numerical Solution of a Non-Linear Volterra Integral Equation

2015 ◽  
Vol 44 (1) ◽  
pp. 5-28 ◽  
Author(s):  
K. Maleknejad ◽  
P. Torabi ◽  
S. Sauter
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Volterra Integral Equation ◽  
Non Linear
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