Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations

Applied Mathematics and Computation

Volumn 112, Issue 1, 2000, Pages 49-61

  Guoqiang, Han ^a   Hayami, Ken ^a   Sugihara, Kokichi ^a   Jiong, Wang ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002466370     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00036-3     Document Type: Article

References (8)

1. Beltyukov B.A., Kuznechikhina L.N. A Runge-Kutta method for the solution of two-dimensional nonlinear Volterra integral equations. Differential Equations. 12:1976;1169-1173.
2. Brunner H. Iterated collocation methods and their discretizations for Volterra integral equations. SIAM J. Numer. Anal. 21:1984;1132-1145.
3. Brunner H., Kauthen J.P. The numerical solution of two-dimensional Volterra integral equations by collocation and iterated collocation. IMA J. Numer. Anal. 9:1989;47-59.
4. H. Brunner, P.J. van der Houwen, The Numerical Solution of Volterra Equations, North-Holland, Amsterdam, 1986.
5. T.P. Chen, Asymptotic error expansions for spline interpolation (in Chinese), J. Sci. Sinica. Ser. (A) (5) (1983) 389-399.
6. Han G.Q. Asymptotic expansion of iterated collocation solution for Volterra integral equation of the second kind (Natural Science) (in Chinese). J. South China Univ. of Tech. 22:1994;74-80.
7. Han G.Q., Zhang L.Q. Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation. Applied Math. Comput. 61:1994;269-285.
8. Singh P. A note on the solution of two-dimensional Volterra integral equations by splines. Indian J. Math. 18:1976;61-64.