Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

@article{171964,
        author = {Nanjundaswamy N},
        title = {Computing exact solution for linear partial differential equation by Adomian decomposition method and Variational iteration method},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {5},
        number = {12},
        pages = {1044-1046},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=171964},
        abstract = {In the present paper a new kind of Numerical technique is used for computing exact solution to a linear partial differential equation by method of Adomian decomposition and Variation iteration methods are described and used to give exact solution for some well-known nonlinear problem. In this method the problems are initially approximated with possible unknowns. Then a correction functional is constructed by a general Lagrange multiplier, which can be identified optimally via the variational theory. Finally, we compare two methods with their exact solution},
        keywords = {Adomian decomposition method, Variational iteration method, Goursat problem, linear partial differential equation, Successive approximation},
        month = {January},
        }