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Content available remote A new approach for solving Bratu’s problem
EN
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique. In this sequel, the obtained error was shown between the proposed technique, Chebyshev wavelets, and Legendre wavelets. The results display that this technique is accurate.
2
Content available remote on q-Baskakov type operators
EN
In the present paper we introduce two q-analogous of the well known Baskakoy operators. For the first operator we obtain convergence property on bounded interval. Then we give the montonity on the sequence of q-Baskakov operators for n when the function f is convex. For second operator, we obtain direct approximation property on unbounded interval and estimate the rate of convergence. One can say that, depending on the selection of q, these operators are more flexible then the classical Baskakov operators while retaining their approximation properties.
3
Content available remote Solving systems of algebraic equations
EN
Numerical procedutes of solving a system for algebraic equations usually consist of a part that localizes the solutions and a part that computers their accurate approximations. The localization is often based on the convex hull property of the Bernstein-Bezier representation of the equations. In the procedure described in this paper, the convex hull test is complemented with another, which significantly improves the efficiency of the procedures.
EN
The present paper is a continuation of our work [1]. Here we have studied the inverse theorem
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