Zobrazeno 1 - 9 of 9 pro vyhledávání: '"Mehran Nikarya"'
1
New numerical method based on Generalized Bessel function to solve nonlinear Abel fractional differential equation of the first kind
Autor: Mehran Nikarya, Kourosh Parand
Publikováno v: Nonlinear Engineering, Vol 8, Iss 1, Pp 438-448 (2019)
Fractional calculus and fractional differential equations (FDE) have many applications in different branches of sciences. But, often a real nonlinear FDE has not the exact or analytical solution and must be solved numerically. Therefore, we aim to in
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::463232e82e904a9d6c721f719d4b8c5a
https://doi.org/10.1515/nleng-2018-0095
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2
Application of Bessel functions and Jacobian free Newton method to solve time-fractional Burger equation
Autor: Mehran Nikarya, Kourosh Parand
Publikováno v: Nonlinear Engineering, Vol 8, Iss 1, Pp 688-694 (2019)
In this paper, a novel method based on Bessel functions (BF), generalized Bessel functions (GBF), the collocation method and the Jacobian free Newton-Krylov sub-space (JFNK) will be introduced to solve the nonlinear time-fractional Burger equation. I
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddc285b1cfec324fb53b7e671f12c486
https://doi.org/10.1515/nleng-2018-0128
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3
A numerical method to solve the 1D and the 2D reaction diffusion equation based on Bessel functions and Jacobian free Newton-Krylov subspace methods
Autor: Kourosh Parand, Mehran Nikarya
Publikováno v: The European Physical Journal Plus. 132
In this paper a novel method will be introduced to solve a nonlinear partial differential equation (PDE). In the proposed method, we use the spectral collocation method based on Bessel functions of the first kind and the Jacobian free Newton-generali
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::774add39f6dd37af349a4a028f323add
https://doi.org/10.1140/epjp/i2017-11787-x
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4
Application of Bessel functions for solving differential and integro-differential equations of the fractional order
Autor: Mehran Nikarya, Kourosh Parand
Publikováno v: Applied Mathematical Modelling. 38:4137-4147
In this paper, a new numerical algorithm to solve the linear and nonlinear fractional differential equations (FDE) is introduced. Fractional calculus and fractional differential equations have many applications in physics, chemistry, engineering, fin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d31556f2f33450c0e0c69d326f1d3613
https://doi.org/10.1016/j.apm.2014.02.001
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5
A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system
Autor: Mehran Nikarya, Jamal Amani Rad, Kourosh Parand
Publikováno v: International Journal of Computer Mathematics. 91:1239-1254
Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0df2aa22a5f61f2079e289960fce6e84
https://doi.org/10.1080/00207160.2013.829917
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7
Solving non-linear Lane–Emden type equations using Bessel orthogonal functions collocation method
Autor: Mehran Nikarya, Kourosh Parand, Jamal Amani Rad
Publikováno v: Celestial Mechanics and Dynamical Astronomy. 116:97-107
The Lane–Emden type equations are employed in the modeling of several phenomena in the areas of mathematical physics and astrophysics. These equations are categorized as non-linear singular ordinary differential equations on the semi-infinite domai
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::380a9b68bba2c4877cf25666ec6de36e
https://doi.org/10.1007/s10569-013-9477-8
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8
Novel orthogonal functions for solving differential equations of arbitrary order
Autor: Mehran Nikarya, Mehdi Delkhosh, Kourosh Parand
Publikováno v: Tbilisi Math. J. 10, iss. 1 (2017), 31-55
Fractional calculus and the fractional differential equations have appeared in many physical and engineering processes. Therefore, an efficient and suitable method to solve them is very important. In this paper, novel numerical methods are introduced
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29f32dc8ae246cae17a67f13381e7f84
https://doi.org/10.1515/tmj-2017-0004
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