A computational technique for computing second-type mixed integral equations with singular kernels

Faculty Science Year: 2024
Type of Publication: ZU Hosted Pages:
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Journal: Journal of Mathematics and Computer Science International Scientific Research Publications Volume:
Keywords : , computational technique , computing second-type mixed integral    
Abstract:
This research deals with the study of the numerical solution of the mixed Volterra-Fredholm integral equation with singular kernels in position and time. The existence and uniqueness of the mixed integral equation were studied using the Banach fixed point theorem. The researchers first applied the separation of variables to convert mixed integral equation in position and time to Fredholm integral equation in position only. Then the researchers applied Boubaker method to find an approximate solution to Fredholm integral equation
    
     
 
       

Author Related Publications

  • Doaa Shoukry Mohamed Abdulmutallab , "Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials", Foundation of Computer Science, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical solution of singular and non singular integral equations", Brazil Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50740-540, Recife-PE, 2013 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial", Hindawi Publishing Corporation, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NUMERICAL SOLUTION OF FRACTIONAL SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING TAYLOR SERIES EXPANSION AND GALERKIN METHOD", 2014 Scientific Advances Publishers, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES", USA.EUDOXUS PRESS,LLC, 2010 More

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