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Your search keyword '"Hooshmandasl, M.R."' showing total 19 results
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19 results on '"Hooshmandasl, M.R."'

18. S-Approximation: A New Approach to Algebraic Approximation

Author

Hooshmandasl, M.R., Shakiba, A., Kafshdar Goharshady, Amir, Karimi, A., Hooshmandasl, M.R., Shakiba, A., Kafshdar Goharshady, Amir, and Karimi, A.

Abstract

We intend to study a new class of algebraic approximations, called -approximations, and their properties. We have shown that -approximations can be used for applied problems which cannot be modeled by inclusion based approximations. Also, in this work, we studied a subclass of -approximations, called -approximations, and showed that this subclass preserves most of the properties of inclusion based approximations but is not necessarily inclusionbased. The paper concludes by studying some basic operations on -approximations and counting the number of -min functions.

Published
2014

19. Wavelets Galerkin method for solving stochastic heat equation.

Author

Heydari, M.H., Hooshmandasl, M.R., Barid Loghmani, Gh., and Cattani, C.

Subjects
*WAVELETS (Mathematics), *GALERKIN methods, *STOCHASTIC analysis, *NUMERICAL solutions to heat equation, *COMPUTATIONAL complexity, *SET theory
Abstract

In this paper, a new computational method based on the second kind Chebyshev wavelets (SKCWs) together with the Galerkin method is proposed for solving a class of stochastic heat equation. For this purpose, a new stochastic operational matrix for the SKCWs is derived. A collocation method based on block pulse functions is employed to derive a general procedure for forming this matrix. The SKCWs and their operational matrices of integration and stochastic Itô-integration are used to transform the under consideration problem into the corresponding linear system of algebraic equations which can be simply solved to achieve the solution of the problem. The proposed method is very convenient for solving such problems, since the initial and boundary conditions are taken into account automatically. Moreover, the efficiency of the proposed method is shown for some concrete examples. The results reveal that the proposed method is very accurate and efficient. [ABSTRACT FROM AUTHOR]

Published
2016
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