On series solutions of Volterra equations

Applied Mathematics and Computation

Volumn 181, Issue 2, 2006, Pages 1287-1304

  Belbas, S A ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

Abel type singularities; Logarithmic singularities; Series solutions; Volterra equations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION; RECURSIVE FUNCTIONS;

ABEL-TYPE SINGULARITIES; LOGARITHMIC SINGULARITIES; SERIES SOLUTIONS; VOLTERRA EQUATIONS;

INTEGRAL EQUATIONS;

EID: 33750439128     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.02.028     Document Type: Article

References (13)

1. Badr A.A. Numerical solution of Fredholm-Volterra integral equation in one dimension with time dependent. Applied Mathematics and Computation 167 (2005) 1156-1161
2. Brakhage H., Nickel K., and Rieder P. Auflösung der Abelschen Integralgleichung zweiter Art. Zeitschrift für angewandte Mathematik und Physik 16 (1965) 295-298
3. Constantine G.M., and Savits T.H. A multivariate Faà di Bruno formula with applications. Transactions of the American Mathematical Society 348 (1996) 503-520
4. Goldfine A. Taylor series methods for the solution of Volterra integral equations and integrodifferential equations. Mathematics of Computation 31 (1977) 691-707
5. Maleknejad K., and Aghazadeh N. Numerical solution of Volterra integral equations of the second kind with convolution kernels by using a Taylor-series expansion method. Applied Mathematics and Computation 161 (2005) 915-922
6. Maleknejad K., and Mahmoudi Y. Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations. Applied Mathematica and Computation 145 (2003) 641-653
7. Mishkov R.L. Generalization of the formula of Faà di Bruno for a composite function with a vector argument. International Journal of Mathematics and Mathematical Sciences 24 (2000) 481-491
8. Panders Jr. D. On higher ordered differentiation. American Mathematical Monthly 64 (1957) 566-572
9. Polyanin A.D., and Manzhirov A.V. Handbook of Integral Equations (1998), CRC Press, Boca Raton, FL
10. Ren Y., Zhang B., and Qiao H. A simple Taylor-series expansion method for a class of second kind integral equations. Journal of Computational and Applied Mathematics 110 (1999) 15-24
11. Wang W. A mechanical algorithm for solving the Volterra integral equation. Applied Mathematics and Computation 173 (2006) 1163-1182
12. Yalçinbas S. Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations. Applied Mathematics and Computation 127 (2002) 195-206
13. Yalçinbas S., and Sezer M. The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials. Applied Mathematics and Computation 112 (2000) 291-308