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Ordinary Differential Equations and Applied Dynamics Commons™
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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) …
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …