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Newton-Kantorovich Method for Solving Some Types Of Nonlinear P.D.E.’S | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 18, Issue 1, 2007, Pages 112-125 | ||
| Author | ||
| Eman A. Hussain | ||
| Abstract | ||
| This method transforms the non-linear boundary value problems for the ordinary differential equations into linear boundary value problems. The resulting linear boundary value problems can be solved by using the finite difference approach. In this paper, a generalization of this method for special types of non-linear partial differential equations together with initial and boundary conditions was accomplished. Also, an example of Burger’s equation is solved which reveal that the Newton-Kantorovich method is a considerable powerful method | ||
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