نوع مقاله : مقاله پژوهشی
نویسندگان
1 گروه آموزشی ریاضی ، دانشگاه علم و فناوری مازندران
2 گروه آموزشی ریاضی، دانشکده ریاضی، دانشگاه علم و فناوری مازندران
3 دانشگاه علم و فناوری مازندران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
In this article, we solve control problems with the conditions of parabolic partial differential
equations. In order to solve this type of mentioned problems, we use an iterative method based on basic polynomials and generating function. In this method, we first consider the solution of the problem based on the given partial differential equation, and then we approximate this solution based on the basic polynomials and the generating function (the function that applies to the initial conditions of the problem). which apply precisely in the given boundary conditions. After that, by placing this solution in the given sub-function and optimality conditions, we reach a system of nonlinear equations. By solving this device of unknown coefficients, we get the approximate answer. In fact, an approximation of the answer is made in a finitedimensional space. We have also shown the convergence of the proposed method for this type of problem.
In order to check the effectiveness of the method, we have solved some examples using it and presented the obtained numerical results.
کلیدواژهها [English]
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