Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel

Applied Mathematics and Computation

Volumn 181, Issue 1, 2006, Pages 694-707

  Karczmarek, Paweł ^a   Pylak, Dorota ^a   Sheshko, Michail A ^a  

^a JOHN PAUL II CATHOLIC UNIVERSITY OF LUBLIN   (Poland)

Author keywords

Approximate solutions; Cauchy kernel; Jacobi polynomials; Singular integral equations

Indexed keywords

APPROXIMATE SOLUTIONS; CAUCHY KERNEL; JACOBI POLYNOMIALS; SINGULAR INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

POLYNOMIAL APPROXIMATION;

EID: 33749516819     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.01.054     Document Type: Article

References (8)

1. Abdou M.A., and Nasr A.A. On the numerical treatment of the singular integral equation of the second kind. Appl. Math. Comput. 146 (2003) 373-380
2. Karpenko L.N. Approximate solution of a singular integral equation with the use of Jacobi polynomials. Prikl. Mat. Mekh. 3 (1966) 564-569 (in Russian)
3. Ladopoulos E.G. Singular Integral Equations. Linear and Non-linear Theory and its Applications in Science and Engineering (2000), Springer-Verlag
4. Muskhelishvilli N.I. Singular Integral Equations (1968), Nauka, Moscow (in Russian)
5. Sheshko M. Singular Integral Equations with Cauchy and Hilbert Kernels and theirs Approximated Solutions (2003), The Learned Society of the Catholic University of Lublin, Lublin (in Russian)
6. Szegö G. Orthogonal Polynomials Vol. XXIII (1939), American Mathematical Society, Colloquium Publications
7. Paszkowski S. Numerical Applications of Chebyshev Polynomials and Series (1975), PWN, Warsaw
8. Sheshko M.A. On convergence quadrature formulas for singular integral. Izv. Vyssh. Uchebn. Zaved., Mat. 12 (1976) 108-118 (in Russian)