Article

Polynomial Spline Approach for Double Integrals with Algebraic Singularity

Z. K. EshkuvatovDepartment of Mathematics, Faculty of ScienceNik Mohd Asri Nik LongDepartment of Mathematics, Faculty of ScienceHabshah MidiDepartment of Mathematics, Faculty of ScienceAbduvali KhaldjigitovTashkent University of Information Technologies, Uzbekistan

Journal of Physics Conference Seriesjournal2013en

ABI

Abstract

In this note, cubature formulas are constructed to evaluate the double integrals on the rectangle with algebraic singularity by replacing the density function f(x,y) with the SΔ(P) modified spline function interpolation of type (0,2). Rate of convergence are obtained in the classes of function f(x,y) ∊ C2,α(D).

Topics

Iterative Methods for Nonlinear Equations Mathematical functions and polynomials Fractional Differential Equations Solutions

Identifiers

DOI: 10.1088/1742-6596/435/1/012009

Citations and references

Cited by 1 10 references

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