Volterra Integral Equations by Variational Iteration Method

Danish Ul Islam; Dr. Anjali Shirivastava

doi:10.32628/IJSRSET24114122

Authors

Danish Ul Islam Research Scholar, School of studies in mathematics, Vikram University, Ujjain, Madhya Pradesh, India Author
Dr. Anjali Shirivastava Assistant Professor, School of studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India Author

DOI:

https://doi.org/10.32628/IJSRSET24114122

Keywords:

Fredholm Integral Equation, Variational Iteration Method, Fredholm Integral Equation of First Kind, Fredholm Integral Equation of Second Kind

Abstract

In this research paper, numerical method Variational Iteration Method is used to solve Second Kind Volterra Integral Equation .Numerical examples illustrate the accuracy of the numerical method Variational Iteration Method.

Downloads

Download data is not yet available.

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

Asiya, A and Najmuddin, A. Numerical Solution for nonlinear Volterra-Fredholmm Integro-Differential equations using Adomian Decompostion Method and Modified Adomian Decomposition Method. Transylvanian Review. 2023; 31(2):16321-16327

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