Zobrazeno 1 - 10
of 108
pro vyhledávání: '"R. C. Mittal"'
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811972713
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c52c87de4bc6a6e24f7c55e6961b85d
https://doi.org/10.1007/978-981-19-7272-0_16
https://doi.org/10.1007/978-981-19-7272-0_16
Publikováno v:
Fractals. 30
This paper endeavors to compute the soliton solution for the sine-Gordon (SG) equation using a hybrid numerical method. The present method has been developed using a modified trigonometric B-spline function with the differential quadrature method (DQ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c214c80fa34fe65dd864f6b39cb5bef
https://doi.org/10.1142/s0218348x22501535
https://doi.org/10.1142/s0218348x22501535
Publikováno v:
Nonlinear Dynamics. 104:661-682
In this article, the authors simulate and study dark and bright soliton solutions of 1D and 2D regularized long wave (RLW) models. The RLW model occurred in various fields such as shallow-water waves, plasma drift waves, longitudinal dispersive waves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4a43f9fa1305d8cf2faa7253ea188d3
https://doi.org/10.1007/s11071-021-06291-9
https://doi.org/10.1007/s11071-021-06291-9
Publikováno v:
Engineering with Computers. 38:1375-1391
Diffusion plays a significant role in complex pattern formulations occurred in biological and chemical reactions. In this work, the authors study the effect of diffusion in coupled reaction-diffusion systems named the Gray-Scott model for complex pat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62f19c02f64a19f45e5793853dbb64ff
https://doi.org/10.1007/s00366-020-01278-3
https://doi.org/10.1007/s00366-020-01278-3
Autor:
Sapna Pandit, R. C. Mittal
Publikováno v:
Engineering Computations. 38:1706-1724
Purpose This paper aims to propose a novel approach based on uniform scale-3 Haar wavelets for unsteady state space fractional advection-dispersion partial differential equation which arises in complex network, fluid dynamics in porous media, biology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7266b05ef738d3483eb3105586a74d78
https://doi.org/10.1108/ec-01-2020-0013
https://doi.org/10.1108/ec-01-2020-0013
Autor:
Rajni Rohila, R. C. Mittal
Publikováno v:
Mathematical Sciences. 14:409-423
A fourth-order numerical method based on cubic B-spline functions has been proposed to solve a class of advection–diffusion equations. The proposed method has several advantageous features such as high accuracy and fast results with very small CPU
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfa5f528a27af678a57950ff01d4965f
https://doi.org/10.1007/s40096-020-00352-7
https://doi.org/10.1007/s40096-020-00352-7
Publikováno v:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 91:461-474
In this work, we present two approaches for simulation of fourth-order parabolic partial differential equations. In the first method, cubic B-spline quasi-interpolation is used to approximate the spatial derivative of the dependent variable and forwa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c79c00240a26ea47a08bc156b06f2aca
https://doi.org/10.1007/s40010-020-00684-y
https://doi.org/10.1007/s40010-020-00684-y
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow. 30:4281-4306
Purpose The purpose of this study is to extend the cubic B-spline quasi-interpolation (CBSQI) method via Kronecker product for solving 2D unsteady advection-diffusion equation. The CBSQI method has been used for solving 1D problems in literature so f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::037ea90a35c29c772916f92df6982281
https://doi.org/10.1108/hff-07-2019-0597
https://doi.org/10.1108/hff-07-2019-0597
Publikováno v:
Mathematical Models and Computer Simulations. 11:634-648
The present study aims to develop a hybrid scheme using trigonometric cubic B-spline basis functions with differential quadrature method for solving nonlinear Schrodinger equation in both one and two dimensions. This method reduces the nonlinear equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4666a5cb3e9da9c18a34bb0e7a48a80d
https://doi.org/10.1134/s2070048219040070
https://doi.org/10.1134/s2070048219040070