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An Effective Computational Approach by Hybrid Functions Operational Matrix for Solving Mixed Kind of the Partial Integro-Differential Equations | ||
| Journal of New Researches in Mathematics | ||
| مقاله 2، دوره 8، شماره 36، آذر و دی 2022، صفحه 15-28 اصل مقاله (404.28 K) | ||
| نوع مقاله: research paper | ||
| نویسنده | ||
yaser rostami  
| ||
| Department of Mathematic, Malard Branch, Islamic Azad University, Tehran, Iran. | ||
| چکیده | ||
| In the present paper, a new method is introduced for the approximate solution of two-dimensional mixed Volterra-Fredholm Partial integro-differential equations with initial conditions using twodimensional hybrid Bernstein polynomials and Block-Pulse functions. For this purpose, an operational matrix of product and integration of the cross-product and differentiation are introduced that essentially of hybrid functions. The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations.. The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations. . The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations. Convergence analysis and some numerical results are presented to illustrate the effectiveness and accuracy of the method. | ||
| کلیدواژهها | ||
| Two-dimensional Bernstein polynomials؛ Block Pulse functions؛ Volterra&ndash؛ Fredholm Partial integro-differential equations؛ operational matrix | ||
| مراجع | ||
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