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Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations. (English) Zbl 1025.45003
Summary: The method of R. P. Kanwal and 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.

MSC:
45G10 Other nonlinear integral equations
45L05 Theoretical approximation of solutions to integral equations
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[1] Kanwal, R.P.; Liu, K.C., A Taylor expansion approach for solving integral equations, Int. J. math. educ. sci. technol., 20, 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, 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, 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
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