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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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.