A new numerical method for solving the general form of the second order partial differential equations
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摘要
In this paper we use a new method for solving a second order partial differential equations. We transform this equations to a system of the integral equations and then to an optimization problem and after that by using Riesze representation theorem we transform it to a linear programming problem. Finally, by solving linear programming problem we obtain the problem approximate solution.
论文关键词:Partial differential equation,Measure theory,Riesz representation theorem,Taylor polynomial
论文评审过程:Available online 30 April 2007.
论文官网地址:https://doi.org/10.1016/j.amc.2006.09.064