Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Harish P. Bhatt"'
Publikováno v:
Mathematics and Computers in Simulation. 182:235-258
To achieve the efficient and accurate long-time integration, we propose a fast and stable high-order numerical method for solving fractional-in-space reaction–diffusion equations. The proposed method is explicit in nature and utilizes the fourth-or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27f9b514a640bd785e42cf517e99fcac
https://doi.org/10.1016/j.matcom.2020.11.001
https://doi.org/10.1016/j.matcom.2020.11.001
Autor:
Harish P. Bhatt, Abhinandan Chowdhury
Publikováno v:
International Journal of Computer Mathematics. 98:1254-1273
This manuscript is concerned with the development and the implementation of a numerical scheme to study the spatio-temporal solution profile of the well-known Kuramoto–Sivashinsky equation with app...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c66f0a4a7e4b51a719093afc45e83c7
https://doi.org/10.1080/00207160.2020.1814262
https://doi.org/10.1080/00207160.2020.1814262
Autor:
Harish P. Bhatt
Publikováno v:
Open Journal of Mathematical Sciences, Vol 3, Iss 1, Pp 262-272 (2019)
This work is concerned with a comparative study of performances of meshfree (radial basis functions) and mesh-based (finite difference) schemes in terms of their accuracy and computational efficiency while solving multi-dimensional initial-boundary v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fe2b5f8b29919ddea77ebb1fe29e8da
https://pisrt.org/psr-press/journals/oms-vol-3-2019/comparative-analysis-of-numerical-methods-for-the-multidimensional-brusselator-system/
https://pisrt.org/psr-press/journals/oms-vol-3-2019/comparative-analysis-of-numerical-methods-for-the-multidimensional-brusselator-system/
Publikováno v:
Numerical Algorithms. 83:1373-1397
This paper introduces an efficient unconditionally stable fourth-order method for solving nonlinear space-fractional reaction-diffusion systems with nonhomogeneous Dirichlet boundary conditions on bounded domains. The proposed method is based on a co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::664fd332db956debcbf9481e491d10c3
https://doi.org/10.1007/s11075-019-00729-3
https://doi.org/10.1007/s11075-019-00729-3
Publikováno v:
Symmetry
Volume 13
Issue 2
Symmetry, Vol 13, Iss 245, p 245 (2021)
Volume 13
Issue 2
Symmetry, Vol 13, Iss 245, p 245 (2021)
This paper introduces the Fourier spectral method combined with the strongly stable exponential time difference method as an attractive and easy-to-implement alternative for the integration of the multi-dimensional Allen–Cahn equation with no-flux
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb67482ff07b03e17d16bb64c985ef97
Autor:
Harish P. Bhatt, Xiao Liang
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-17 (2018)
Two modified exponential time differencing schemes based on the Fourier spectral method are developed to solve the 3-coupled nonlinear fractional Schrödinger equation. We compare the stability of the schemes by plotting their stability regions. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a63eccd65a38640f644a67ad2462167
http://link.springer.com/article/10.1186/s13662-018-1936-9
http://link.springer.com/article/10.1186/s13662-018-1936-9
Publikováno v:
Applied Mathematics and Computation. 338:260-273
The number of ordinary differential equations generally increases exponentially as the partial differential equation is posed on a domain with more dimensions. This is, of course, the curse of dimensionality for exponential time differencing methods.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a422f780dc34f552cfc77daaea437a4e
https://doi.org/10.1016/j.amc.2018.06.025
https://doi.org/10.1016/j.amc.2018.06.025
Publikováno v:
Numerical Algorithms. 76:939-958
An efficient local extrapolation of the exponential operator splitting scheme is introduced to solve the multi-dimensional space-fractional nonlinear Schrodinger equations. Stability of the scheme is examined by investigating its amplification factor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37f01d5659d63e237359de36e6c8df36
https://doi.org/10.1007/s11075-017-0291-3
https://doi.org/10.1007/s11075-017-0291-3
Autor:
Harish P. Bhatt, A. Q. M. Khaliq
Publikováno v:
Journal of Computational and Applied Mathematics. 299:176-193
Exponential time differencing Runge-Kutta (ETDRK) schemes based on diagonal Pade approximations for the numerical solution of reaction-diffusion systems containing nonsmooth data have the disadvantage of producing poor numerical results when the time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac156bdee332236881bbe282350b3ef6
https://doi.org/10.1016/j.cam.2015.11.046
https://doi.org/10.1016/j.cam.2015.11.046
Autor:
A. Q. M. Khaliq, Harish P. Bhatt
Publikováno v:
Computer Physics Communications. 200:117-138
This paper introduces two new modified fourth-order exponential time differencing Runge–Kutta (ETDRK) schemes in combination with a global fourth-order compact finite difference scheme (in space) for direct integration of nonlinear coupled viscous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::516988c407d66a24470da69799cf9fde
https://doi.org/10.1016/j.cpc.2015.11.007
https://doi.org/10.1016/j.cpc.2015.11.007