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   Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet  
   
نویسنده erfanian majid ,zeidabadi hamed
منبع journal of mathematical modeling - 2021 - دوره : 9 - شماره : 2 - صفحه:201 -225
چکیده    We successively apply the rational haar wavelet to solve the nonlinear volterra integro-differential equations and nonlinear fredholm integro-differential equations. using the banach fixed point theorem for these equations, we prove the convergence. in this method, no numerical integration is used. numerical results are presented to show the effectiveness of this method.
کلیدواژه Fixed point Banach theorem . nonlinear . Volterra. Fredholm .integro-differential. Haar wavelet convergence
آدرس university of zabol, school of mathematical sciences, department of science, Iran, sabzevar university of new technology, faculty of engineering, Iran
 
     
   
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