Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Mohammad Tamsir"'
Publikováno v:
International Journal of Mathematical, Engineering and Management Sciences, Vol 9, Iss 3, Pp 646-667 (2024)
This article addresses the two analytical methods, i.e., the new iterative transform method (NITM) and the homotopy perturbation transform method (HPTM), along with an Aboodh transform (AT), to approximate the nonlinear system of two-dimensional (2D)
Externí odkaz:
https://doaj.org/article/1d85f55cb57a492aa9f94af0228b29e8
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17339-17358 (2024)
In this article, a collocation technique based on quintic trigonometric B-spline (QTB-spline) functions was presented for homogeneous as well as the nonhomogeneous extended Fisher-Kolmogorov (F-K) equation. This technique was used for space integrati
Externí odkaz:
https://doaj.org/article/91b7f28fbe8f4f4a8a360350792b0ce3
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8776-8802 (2024)
This article introduces a new iterative transform method and homotopy perturbation transform method along with a natural transform to analyze the multi-dimensional Navier-Stokes equations. To solve the fractional-derivative, the Caputo-Fabrizio defin
Externí odkaz:
https://doaj.org/article/a9b8d588606a4cb493b51d662559d331
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 2, Pp 102382- (2024)
In this work, we propose a new differential quadrature method (DQM) based on the Unified and Extended Trigonometric B-spline (UETB-spline) functions for the numerical approximation of 3D wave equations. The UETB -spline functions are modified and the
Externí odkaz:
https://doaj.org/article/37fc06caa9d24c48aedc4c70960343d0
Publikováno v:
Beni-Suef University Journal of Basic and Applied Sciences, Vol 12, Iss 1, Pp 1-14 (2023)
Abstract Background This study proposes an efficient and stable technique based on new hybrid B-spline (HB-spline) functions for the numerical treatment of the Caputo time fractional nonlinear Burgers’ (TFNB) equation. The time derivative is discre
Externí odkaz:
https://doaj.org/article/bd9e6a4d9edd401ca196b46151b63daf
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-36 (2022)
Abstract In this article, we study an inverse problem (IP) for a fourth-order hyperbolic equation with nonlocal boundary conditions. This IP is reduced to the not self-adjoint boundary value problem (BVP) with corresponding boundary condition. Then,
Externí odkaz:
https://doaj.org/article/9c6951535bc64d7abe09b6e84cac4d52
Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 4, Pp 4091-4097 (2021)
In this paper, Crank-Nicolson differential quadrature method based on cubic exponential B-spline (CExpB-spline) functions is presented to approximate the 1D nonlinear hyperbolic Sine-Gordon equation (SGE). The time derivative is discretized by the us
Externí odkaz:
https://doaj.org/article/457c10f0b628457281d89450a456668f
Autor:
Mohammad Tamsir, M.J. Huntul
Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 3, Pp 3157-3165 (2021)
The objective of this work is to propose a hybrid numerical method for the approximation of Fisher’s reaction–diffusion equation. The method is based on cubic uniform algebraic trigonometric (CUAT) tension B-spline functions and differential quad
Externí odkaz:
https://doaj.org/article/7223b3111b4e4b92ad32443dc92e95ee
Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 3, Pp 3183-3193 (2021)
The objective of this paper is to determine the timewise potential coefficient numerically in the wave equation with initial and dynamic boundary conditions supplemented by additional measurement as an over-determination condition. The inverse identi
Externí odkaz:
https://doaj.org/article/bc9794cba8ed482d9ae8f29d72151e3c
Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 2, Pp 2073-2082 (2021)
In this paper, we present a Crank-Nicolson collocation method based on modified Quintic B-splines for parabolic PDEs. The time-dependent convection–diffusion equation (CDE) and Burgers’ equation are considered. The integration of the problem is h
Externí odkaz:
https://doaj.org/article/34e26acf84bc47c1a4795756d6289a9a