Zobrazeno 1 - 10
of 198
pro vyhledávání: '"E. Babolian"'
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 12, Iss 2, Pp 315-333 (2022)
Differential equations of fractional order have been the focus of many studies due to their frequent appearance in various applications in fluid mechanics, biology, physics, and engineering. In general, it is not easy to derive the analytical solutio
Externí odkaz:
https://doaj.org/article/afc351140f7345e6bddf64877033f640
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-20 (2019)
Abstract In this paper, we use operational matrices of Chebyshev polynomials to solve fractional partial differential equations (FPDEs). We approximate the second partial derivative of the solution of linear FPDEs by operational matrices of shifted C
Externí odkaz:
https://doaj.org/article/02dce18656d0479eacb9f748592ba567
Autor:
D. Hamedzadeh, E. Babolian
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 8, Iss 1, Pp 1-18 (2018)
In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces. The Taylor series of the unknown function is used to remove the singularity and bases of reprod
Externí odkaz:
https://doaj.org/article/55840cb1f28942d0975fed57b8da0f26
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-25 (2017)
Abstract In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-in
Externí odkaz:
https://doaj.org/article/9eca44140bdd44f092cc0fe1e581c3de
Autor:
M Ghasemi, E Babolian
Publikováno v:
پژوهشهای ریاضی, Vol 2, Iss 1, Pp 7-16 (2016)
In this paper the solution of the Volterra integro-differential equations of fractional order is presented. The proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered pr
Externí odkaz:
https://doaj.org/article/2a9de52e7f1b44148b43729d42518c21
Publikováno v:
Mathematical Sciences. 17:157-167
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f0a7314b92aa7eaec5d93b69f8d26be
https://doi.org/10.1007/s40096-021-00450-0
https://doi.org/10.1007/s40096-021-00450-0
Akademický článek
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Akademický článek
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Publikováno v:
Applicable Analysis. 92:1787-1802
A numerical method based on quintic B-spline has been developed to solve the linear and nonlinear Fredholm and Volterra integro-differential equations up to order 4. The solution and its derivatives are collocated by quintic B-spline and then the int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ecaa9d9ae9d7a5c958bd5c290c2cb62
https://doi.org/10.1080/00036811.2012.702209
https://doi.org/10.1080/00036811.2012.702209
Publikováno v:
Ain Shams Engineering Journal. 3:305-311
In this paper, an efficient modification of the homotopy perturbation method by using optimal Lagrange interpolation polynomials is presented. The proposed method is easy to implement and computationally very attractive. This proposed method can be a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::744e54c8befbb1477155d12bf61fbea4
https://doi.org/10.1016/j.asej.2012.03.003
https://doi.org/10.1016/j.asej.2012.03.003