Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Appanah Rao Appadu"'
Autor:
Appanah Rao Appadu, Abey Sherif Kelil
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions. In this study, we
Externí odkaz:
https://doaj.org/article/4f6486a2bdf5495a9097dc91a68e68b7
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 8 (2022)
In this study, we obtain a numerical solution for Fisher's equation using a numerical experiment with three different cases. The three cases correspond to different coefficients for the reaction term. We use three numerical methods namely; Forward-Ti
Externí odkaz:
https://doaj.org/article/41d28cb88a234cd9aec38d12a35fe046
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2616 (2022)
In this work, we used three finite difference schemes to solve 1D and 2D convective diffusion equations. The three methods are the Kowalic–Murty scheme, Lax–Wendroff scheme, and nonstandard finite difference (NSFD) scheme. We considered a total o
Externí odkaz:
https://doaj.org/article/6351348f3aaa4f2b83f9110d258c8a3d
Autor:
Abey Sherif Kelil, Appanah Rao Appadu
Publikováno v:
Mathematics, Vol 10, Iss 23, p 4443 (2022)
The KdV equation has special significance as it describes various physical phenomena. In this paper, we use two methods, namely, a variational homotopy perturbation method and a classical finite-difference method, to solve 1D and 2D KdV equations wit
Externí odkaz:
https://doaj.org/article/f85e9e2feb594a82b6255db11e965dd8
Publikováno v:
Computation, Vol 9, Iss 11, p 123 (2021)
The study of biofilm formation is undoubtedly important due to micro-organisms forming a protected mode from the host defense mechanism, which may result in alteration in the host gene transcription and growth rate. A mathematical model of the nonlin
Externí odkaz:
https://doaj.org/article/48675ecae24c4897bda5f39ba3926c7b
Publikováno v:
Fluids, Vol 6, Iss 6, p 214 (2021)
We construct three finite difference methods to solve a linearized Korteweg–de-Vries (KdV) equation with advective and dispersive terms and specified initial and boundary conditions. Two numerical experiments are considered; case 1 is when the coef
Externí odkaz:
https://doaj.org/article/328ec38ee8b647c8878d671023373199
Autor:
Appanah Rao Appadu, Abey Sherif Kelil
Publikováno v:
Mathematics, Vol 8, Iss 10, p 1769 (2020)
The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equations for the advancement of the theory of solitons. In this paper, some
Externí odkaz:
https://doaj.org/article/e0666b52cee34418aed63782f0b7255b
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1333 (2019)
In this paper, we construct four numerical methods to solve the Burgers–Huxley equation with specified initial and boundary conditions. The four methods are two novel versions of nonstandard finite difference schemes (NSFD1 and NSFD2), explicit exp
Externí odkaz:
https://doaj.org/article/43ffbb41ce734fc8b1b14c39d266a187
Publikováno v:
Open Physics. 21
Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known. The continuous model involves a system of nonlinear coupled partial differentia
Publikováno v:
Journal of Difference Equations and Applications. 27:1537-1573