Fredholm Integral Equations by Variational Iteration Method
DOI:
https://doi.org/10.32628/IJSRSET24114122Keywords:
Fredholm Integral Equation, Variational Iteration Method, Fredholm Integral Equation of First Kind, Fredholm Integral Equation of Second KindAbstract
In this research paper, numerical method Variational Iteration Method is used to solve Second Kind Fredholm Integral Equation .Numerical examples illustrate the accuracy of the numerical method Variational Iteration Method.
Downloads
References
Fawziah, A.M., Kirtiwant, P.G. and Priyanka, P. A. The approximate solution of Fredholm integral equation by decomposition method and its modification, international journal of mathematics and its application, 6(2) (2018), 327-334.
Rabbani, M. and Jamali, R., Solving nonlinear system of mixed Volterra -Fredholm integral equations by using Variational Iteration method, The Journal of Mathematics and Computer Science, 5(4) (2012), 280-287. DOI: https://doi.org/10.22436/jmcs.05.04.05
Ray, S.S. and Sahu, P.K., Numerical methods for solving Fredholm integral equations of the second kind, Abstract and Applied Analysis, 8(5) 2013, 1-17. DOI: https://doi.org/10.1155/2013/426916
He, J. H. and Wu, X. H “Variational iteration method (new development and applications)” Computer and Mathematics with Applications, 54(7-8) (2007), 881-894 DOI: https://doi.org/10.1016/j.camwa.2006.12.083
S.Shakeri,R.Saadati, S.M.Vaezpour,J.Vahidi “Variational Iteration method for solving integral equations” Journal of applied science, 9(4) (2009), 799-800 DOI: https://doi.org/10.3923/jas.2009.799.800
Jafar Biazar, Mehdi Gholami Porshokouhi, Behzad Ghanbari,Mohammad Gholami Porshokouhi “Numerical solution of functional integral equations by the variational iteration method” Journal of Computational and Applied Mathematics., (2011), 2581-2585. DOI: https://doi.org/10.1016/j.cam.2010.11.010
Afroza Shirin1, Md. Shafiqul Islam “Numerical Solutions of Fredholm Integral Equation of Second Kind Using Piecewise Bernoulli Polynomials” University of Dhaka, Dhaka – 1000, Bangladesh, 1-9.
Singh, I and Ul Islam, D “Hybrid numerical methods for solving Volterra integral equation of the first kind” International Journal of Advanced Research In engineering and technology, 11(10) (2020), 694-705.
R.N.Parjapati, R.Mohan, P. Kumar “Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method” American Journal of Computational Mathematics, (2012), 312-315. DOI: https://doi.org/10.4236/ajcm.2012.24042
Downloads
Published
Issue
Section
License
Copyright (c) 2024 International Journal of Scientific Research in Science, Engineering and Technology
This work is licensed under a Creative Commons Attribution 4.0 International License.