The Adomian decomposition method is used to implement the nonhomogeneous multidimensional partial differential equation model problem. The analytic solution of the equation is calculated in the form of a series with easily computable components.The nonhomogeneous problem is quickly solved by observing the self-canceling "noise" terms whose sum vanishes in the limit. Comparing the methodology with some known techniques shows that the present approach is effective and powerful. Two test problems of Mathematical Physics, are discussed to illustrate the effectiveness and the performance of the decomposition method.
The numerical solution of multidimensional partial differential equations by the decomposition method
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.