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Book

Engineering Mathematics

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Ghiasodin Jamshid Kashani Academic Institute. (Persian)

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Journal Paper

Solving a Differential Model by Heat Partial Derivatives Using Bivariate B-Spline Approximation Function with Tensor Product

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Science Road Journal, Vol.2 No. 3, (2014) 145-151.

Thus far, numerous studies have been done on the approximation of multivariate functions, especially approximation of functions using B-splines. In this paper, B-spline functions were used by the tensor product. By applying this approximation and replacing it in the differential equation along with partial derivatives relating to heat equations, an approximate response was found for the equation, the results of which demonstrated a method improvement. Finally, a numerical example was presented to state this issue.

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Journal Paper

Interpolation by Hyperbolic B-spline Functions

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International Journal of Mathematical Modelling & Computations, Vol. 1 No. 3, (2011) 175 - 181.

In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.

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conference paper

Solving the Heat Partial Differential Equation by using Bivariate B-splines and Tensor Product

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44th Annual Iranian Mathematics Conference, (AIMC44), (2013) Ferdowsi University of Mashhad, Iran.

This paper is in Persian.

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