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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 4 of 4
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
The objective of this study is to examine the performance of two adjacent solid particles as they settle in close nearness, with a focus on comprehending the intricate interactions between the particles and the surrounding fluid during the process of sediment transport. Simulations are conducted with different initial horizontal spacing between particles and Reynolds numbers (Re). The findings of the simulations highlight the impact of the initial spacing between particles and Reynolds numbers (Re) as key factors influencing the ultimate settling velocity and separation distance. In general, when the initial spacing between particles is small and the Reynolds number (Re) …
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The study of an entirely new class of differential equations known as delay differential equations or difference differential equations has resulted from the development and application of automatic control systems (DDEs). Time delays are virtually always present in any system that uses feedback control. Because it takes a finite amount of time to sense information and then react to it, a time delay is required. This exploration was carried out for the solution of fractional delay differential equations by using the reduced differential transform method. The results are presented in a series of form that leads to an exact answer. …
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
International Journal of Emerging Multidisciplinaries: Mathematics
A viscous, incompressible fluid flows between two inclined planar walls. The walls are able to extend and decrease in size. By substituting an appropriate dimensionless variable, the dimensional partial differential equations of the flow model can be transformed into nondimensional ordinary differential equations. Solving nondimensional velocity and temperature in the model is made possible by the use of an analytical approach known as Adomian's decomposition (AD). Runge-Kutta techniques of order four are used to calculate numerical solutions to ensure the correctness of the analytical answer. On velocity and temperature, the impact of several dimensionless physical quantities embedded in the flow …
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation. The first-order numerical solution obtained by OAFM has been compared with the variational homotopy perturbation method (VHPM). The method possesses the auxiliary function and control parameters which can be easily handled during simulation of the nonlinear problem. From the numerical and graphical results, we concluded the method is very effective and easy to implement for the nonlinear PDEs.