Numerical Solution Using Two- Dimensional Haar Wavelet Collocation Method for Stationary Neutron Transport Equation in Homogeneous Isotropic Medium

2015 ◽  
pp. 196-223
Keyword(s):  
Numerical Solution ◽  
Transport Equation ◽  
Collocation Method ◽  
Isotropic Medium ◽  
Neutron Transport ◽  
Haar Wavelet ◽  
Two Dimensional ◽  
Neutron Transport Equation ◽  
Wavelet Collocation Method

Numerical Solution of Nonlinear Volterra-Fredholm Integral Equations Using Haar Wavelet Collocation Method

2017 ◽  
Vol 18 ◽  
pp. 50-59 ◽  
Author(s):  
S.C. Shiralashetti ◽  
R.A. Mundewadi
Keyword(s):  
Integral Equation ◽  
Error Analysis ◽  
Numerical Solution ◽  
Integral Equations ◽  
Collocation Method ◽  
Haar Wavelet ◽  
Fredholm Integral Equations ◽  
Operational Matrices ◽  
Algebraic Equations ◽  
Wavelet Collocation Method

In this paper, we present a numerical solution of nonlinear Volterra-Fredholm integral equations using Haar wavelet collocation method. Properties of Haar wavelet and its operational matrices are utilized to convert the integral equation into a system of algebraic equations, solving these equations using MATLAB to compute the Haar coefficients. The numerical results are compared with exact and existing method through error analysis, which shows the efficiency of the technique.

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