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Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations. (English) Zbl 1025.45003
Summary: The method of {\it R. P. Kanwal} and {\it K. C. Liu} for the solution of Fredholm integral equations [Int. J. Math. Educ. Sci. Technol. 20, No. 3, 411-414 (1989; Zbl 0683.45001)] is applied to certain nonlinear Volterra-Fredholm integral equations. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed.

45G10Nonsingular nonlinear integral equations
45L05Theoretical approximation of solutions of integral equations
Full Text: DOI
[1] Kanwal, R. P.; Liu, K. C.: A Taylor expansion approach for solving integral equations. Int. J. Math. educ. Sci. technol. 20, No. 3, 411 (1989) · Zbl 0683.45001
[2] Kauthen, J. P.: Continuous time collocation methods for Volterra--Fredholm integral equations. Numer. math. 56, 409 (1989) · Zbl 0662.65116
[3] Sezer, M.: Taylor polynomial solution of Volterra integral equations. Int. J. Math. educ. Sci. technol. 25, No. 5, 625 (1994) · Zbl 0823.45005
[4] Sezer, M.: A method for the approximate solution of the second-order linear differential equations in terms of Taylor polynomials. Int. j.math. Educ. sci. Technol. 27, No. 6, 821 (1996) · Zbl 0887.65084
[5] S. Yalçinbaş, Taylor polynomial solutions of Volterra--Fredholm integral and integro-differential equations, Ph.D. Thesis, Dokuz Eylül University Graduate School of Natural and Applied Sciences, 1998