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E. Babolian, S. Bazm, P. Lima (2011)
NUMERICAL SOLUTION OF NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING RATIONALIZED HAAR FUNCTIONSCommunications in Nonlinear Science and Numerical Simulation, 16
K. Maleknejad (2009)
Two-Dimensional PCBFs : Application to Nonlinear Volterra Integral Equations
(1997)
D: Handbook on the linear ordinary differential equations
H. Brunner (1990)
On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methodsSIAM Journal on Numerical Analysis, 27
J. Kauthen (1989)
Continuous time collocation methods for Volterra-Fredholm integral equationsNumerische Mathematik, 56
Z. Kamont, H. Leszczynski (1998)
Numerical Solutions to the Darboux Problem with Functional DependenceGeorgian Mathematical Journal, 5
C. Chen, C. Hsiao (1997)
Haar wavelet method for solving lumped and distributed-parameter systems, 144
K. Atkinson (1997)
The Numerical Solution of Integral Equations of the Second Kind: Index
H. Dobner (1987)
Bounds for the solution of hyperbolic problemsComputing, 38
G. Han, K. Hayami, K. Sugihara, Wang Jiong (2000)
Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equationsAppl. Math. Comput., 112
(2000)
A: On the one approach to solution of Darboux problem, Izvestia Akademii Nauk Possii
S. Nemati, P. Lima, Y. Ordokhani (2013)
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomialsJ. Comput. Appl. Math., 242
(2016)
A new method for solving of telegraph of telegraph equation with haae wavelet
H. Brunner, J. Kauthen (1989)
The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated CollocationIma Journal of Numerical Analysis, 9
(2001)
Ivanova: OnUse of a NewMethod of Solution of Darboux Problem for Solution of the Problem of Motion of a Ball on a Routh Plane
V. Matveev, M. Salle (1992)
Darboux Transformations and Solitons
(1882)
Sur une proposition relative aux equations lineaires
In this paper we have introduced a computational method for a class of Darboux problem that change to two-dimensional nonlinear Volterra integral equations, based on the expansion of the solution as a series of Haar functions. Also, by using the Banach fixed point theorem, we get an upper bound for the error of our method. Since our examples in this article are selected from different references, so the numerical results obtained here can be compared with other numerical methods.
SeMA Journal – Springer Journals
Published: Oct 5, 2016
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