Cubic Splines and Approximate Solution of Singular Integral Equations
نویسندگان
چکیده
منابع مشابه
Cubic Splines and Approximate Solution of Singular Integral Equations
Of concern here is the numerical solution of singular integral equations of Cauchy type; i.e., equations involving principal value integrals. The unknown function is expressed as the product of an appropriate weight function and a cubic spline. The problem is reduced to a system of linear algebraic equations which is solved for the approximate values of the function at the knots. An estimate is...
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In present paper we elaborated the numerical schemes of iterative methods for an approximate solution of weak singular integral equations with logarithmic Kernel. The equation is examined in a pair of spaces. The results obtained could be used for any pair of the functional spaces where the problem of finding the solution of weak singular integral equations is correctly formulated problem by Ti...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1981
ISSN: 0025-5718
DOI: 10.2307/2007436