Results 1 to 10 of about 36 (35)

Programming Mat-Poka-yoke system control effect of unsteady convection-diffusion behavior for plastic manufacturing mathematically. [PDF]

open access: yesPLoS ONE
The blowing and drying stages in the plastic manufacturing process generate many defects due to a lack of accuracy in estimating thermal convection and its diffusion control.
Ahmed M Abed   +5 more
doaj   +2 more sources

A numerical approach for solving Fisher’s reaction–diffusion equation via a new kind of spline functions

open access: yesAin Shams Engineering Journal, 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 quadrature ...
Mohammad Tamsir, M.J. Huntul
doaj   +1 more source

DQM Based on the Modified Form of CTB Shape Functions for Coupled Burgers’ Equation in 2D and 3D [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2019
This work concerns for solving of coupled Burgers’ equations (CBEs) in 2D and 3D via DQM based on cubic trigonometric B-spline (CTB) shape functions.
Mohammad Tamsir, Neeraj Dhiman
doaj   +1 more source

Cubic trigonometric B-spline differential quadrature method for numerical treatment of Fisher’s reaction-diffusion equations

open access: yesAlexandria Engineering Journal, 2018
This paper concerns through the numerical treatment of Fisher’s reaction-diffusion equation by using a hybrid numerical method. In this method, the combination of cubic trigonometric B-spline (CTB) base functions and differential quadrature method is ...
Mohammad Tamsir   +2 more
doaj   +1 more source

An exponential cubic B-spline algorithm for multi-dimensional convection-diffusion equations

open access: yesAlexandria Engineering Journal, 2018
We present a method viz. “exponential modified cubic B-spline differential quadrature method (Expo-MCB-DQM)” to approximate the numerical solution of 2D and 3D convection-diffusion equations (CDEs).
H.S. Shukla, Mohammad Tamsir
doaj   +1 more source

Numerical solution of nonlinear sine–Gordon equation by using the modified cubic B-spline differential quadrature method

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2018
This paper deals with numerical solution of one dimensional nonlinear sine–Gordon. “Modified cubic B-spline differential quadrature method” is used to solve one dimensional nonlinear sine–Gordon.
H.S. Shukla, Mohammad Tamsir
doaj   +1 more source

Extended modified cubic B-spline algorithm for nonlinear Burgers' equation

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2016
In this paper, an extended modified cubic B-Spline differential quadrature method is proposed to approximate the solution of the nonlinear Burgers' equation. The proposed method is used in space and a five-stage and four order strong stability-preserving
Mohammad Tamsir   +2 more
doaj   +1 more source

Numerical Solution of Nonlinear Sine‐Gordon Equation by Modified Cubic B‐Spline Collocation Method

open access: yesInternational Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014
Modified cubic B‐spline collocation method is discussed for the numerical solution of one‐dimensional nonlinear sine‐Gordon equation. The method is based on collocation of modified cubic B‐splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range.
R. C. Mittal   +2 more
wiley   +1 more source

A Collocation Method for Numerical Solution of Hyperbolic Telegraph Equation with Neumann Boundary Conditions

open access: yesInternational Journal of Computational Mathematics , Volume 2014, Issue 1, 2014., 2014
We present a technique based on collocation of cubic B‐spline basis functions to solve second order one‐dimensional hyperbolic telegraph equation with Neumann boundary conditions. The use of cubic B‐spline basis functions for spatial variable and its derivatives reduces the problem into system of first order ordinary differential equations.
R. C. Mittal, Rachna Bhatia, Zhijie Xu
wiley   +1 more source

An algorithm based on a new DQM with modified exponential cubic B-splines for solving hyperbolic telegraph equation in (2 + 1) dimension

open access: yesNonlinear Engineering, 2018
In this paper, a new method modified exponential cubic B-Spline differential quadrature method (mExp-DQM) has been developed for space discretization together with a time integration algorithm for numeric study of (2 + 1) dimensional hyperbolic telegraph
Singh Brajesh Kumar, Kumar Pramod
doaj   +1 more source

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