In this article, an applied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of high order Volterra integro-differential equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical illustrations have been solved to assert the credibility and practically of this method
Matinfar, M., Abdollahi Lashaki, H., & Akbari, M. (2017). Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order. Mathematical Research, 3(2), 19-32. https://doi.org/10.29252/mmr.2.3.19
MLA
Matinfar, M., Abdollahi Lashaki, H., & Akbari, M. "Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order", Mathematical Research, 3, 2, 2017, 19-32. doi: 10.29252/mmr.2.3.19
HARVARD
Matinfar M., Abdollahi Lashaki H., Akbari M. (2017). 'Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order', Mathematical Research, 3(2), pp. 19-32. doi: 10.29252/mmr.2.3.19
CHICAGO
M. Matinfar, H. Abdollahi Lashaki & M. Akbari, "Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order," Mathematical Research, 3 2 (2017): 19-32, doi: 10.29252/mmr.2.3.19
VANCOUVER
Matinfar M., Abdollahi Lashaki H., Akbari M. Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order. Mathematical Research. 2017;3(2):19-32 (In Persian). doi: 10.29252/mmr.2.3.19