We propose and study two second-order in time implicit-explicit (IMEX) methods for the coupled Stokes-Darcy system that governs flows in karst aquifers. The first is a combination of a second-order backward differentiation formula and the second-order Gear’s extrapolation approach. The second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algor...

Abstract This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator prey act as agents in an ecosystem this simulation. We focus on order Atangana–Baleanu operator the sense Liouville–Caputo. Due nonlocality method, generated by using another FO derivative developed kernel based generalized Mittag-Leffler function. Two fractio...

Models of bio-mathematics are experimental systems that recreate aspects human tissue function, diseases or virus. In this research, a new operational matrix based on the Laguerre wavelets is introduced for arbitrary-order susceptible-infected-recovered (SIR) epidemic dynamical system childhood diseases. An exact mechanism Riemann–Liouville arbitrary integral operator explained where derivative...

The current investigations provide the solutions of nonlinear fractional order mathematical rape and its control model using strength artificial neural networks (ANNs) along with Levenberg-Marquardt backpropagation approach (LMBA), i.e., networks-Levenberg-Marquardt (ANNs-LMBA). have been presented to find more realistic results form model. differential has six classes: susceptible native girls...

In recent decades, AIDS has been one of the main challenges facing medical community around world. Due to large human deaths this disease, researchers have tried study dynamic behaviors infectious factor disease in form mathematical models addition clinical trials. paper, we a new model which dynamics CD4+ T-cells under effect HIV-1 infection are investigated context generalized fractal-fractio...

The increasing complexity of advanced devices and systems increases the scale mathematical models used in computer simulations. Multiparametric analysis study on long-term time intervals large-scale are computationally expensive. Therefore, efficient numerical methods required to reduce costs. Recently, semi-explicit semi-implicit Adams–Bashforth–Moulton have been proposed, showing great comput...

The presented communication provides the analysis of entropy generation and heat transport rate in peristalsis hybrid nanofluid induced by metachronal ciliary beating under magnetic environment for sufficiently large Reynolds number. Nanoparticles Cu Al 2 O 3 are suspended water. Features their structures determined using long-wavelength approximation with zero Adams Bashforth method has been a...