Abstract and Applied Analysis

Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives

Abdon Atangana and Suares Clovis Oukouomi Noutchie

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Abstract

We propose a powerful iteration scheme for solving analytically a class of partial equations with mixed derivatives. Our approach is based upon the Lagrange multiplier in two-dimensional spaces. The local convergence and uniqueness of the proposed method are analyzed. In order to demonstrate the applicability of our method, we present an algorithm to compute the solution for two examples.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 369304, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412607130

Digital Object Identifier
doi:10.1155/2014/369304

Mathematical Reviews number (MathSciNet)
MR3214424

Zentralblatt MATH identifier
07022241

Citation

Atangana, Abdon; Oukouomi Noutchie, Suares Clovis. Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 369304, 8 pages. doi:10.1155/2014/369304. https://projecteuclid.org/euclid.aaa/1412607130


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