In this paper, we discuss about existence of solution for integro-differential system and then we solve it by using the Petrov-Galerkin method. In the Petrov-Galerkin method choosing the trial and test space is important, so we use Alpert multi-wavelet as basis functions for these spaces. Orthonormality is one of the properties of Alpert multi-wavelet which helps us to reduce computations in the process of discretizing and we drive a system of algebraic equations with small dimension which it leads to approximate solution with high accuracy. We compare the results with similar works and it guarantees the validity and applicability of this method.
Rabbani,M . (2016). Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method. International Journal of Nonlinear Analysis and Applications, 7(1), 207-218. doi: 10.22075/ijnaa.2015.307
MLA
Rabbani,M . "Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 207-218. doi: 10.22075/ijnaa.2015.307
HARVARD
Rabbani M. (2016). 'Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 207-218. doi: 10.22075/ijnaa.2015.307
CHICAGO
M Rabbani, "Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 207-218, doi: 10.22075/ijnaa.2015.307
VANCOUVER
Rabbani M. Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method. IJNAA. 2016;7(1):207-218. doi: 10.22075/ijnaa.2015.307
International Journal of Nonlinear Analysis and Applications