Mathematics and Computational Sciences
http://mcs.qut.ac.ir/
Mathematics and Computational Sciencesendaily1Thu, 01 Sep 2022 00:00:00 +0430Thu, 01 Sep 2022 00:00:00 +0430A numerical process of the mobile-immobile advection-dispersion model arising in solute transport
http://mcs.qut.ac.ir/article_254908.html
In the present article&lrm;, &lrm;to find the answer to the mobile-immobile advection-dispersion model of temporal fractional order $0&lt; \beta \leq 1$ (MI-ADM-TF)&lrm;, &lrm;which can be applied to model the solute forwarding in watershed catchment and flood&lrm;, &lrm;the effective high-order numerical process is gonna be built&lrm;.&lrm;To do this&lrm;, &lrm;the temporal-fractional derivative of the MI-ADM-TF is discretized by using the linear interpolation&lrm;, &lrm;and the temporal-first derivative by applying the first-order precision of the finite-difference method&lrm;. &lrm;On the other hand&lrm;, &lrm;After obtaining a semi-discrete form&lrm;, &lrm;to obtain the full-discrete technique&lrm;, &lrm;the space derivative is approximated utilizing a collocation approach based on the Legendre basis&lrm;.&lrm;The convergence order of the implicit numerical design for MI-ADM-TF is discussed in that is linear&lrm;.&lrm;Moreover&lrm;, &lrm;the temporal-discretized structure of stability is also discussed theoretically in general in the article&lrm;.&lrm;Eventually&lrm;, &lrm;two models are offered to demonstrate the quality and authenticity of the established process&lrm;.Second-Order Slip Effect on the Flow of MHD Chemically Reacting Fluid Through an Inclined Micro-Annular Channel
http://mcs.qut.ac.ir/article_254909.html
This study explores the second-order slip effect on the flow of MHD chemically reacting fluid through an inclined micro-annular channel. As knowledge in flow and heat transfer is showcased in macro/micro-channel areas, consistent advancement is essential to familiar with fundamental phenomena associated. The free convection study encompasses the temperature-dependent viscosity and uniform magnetic field effect. The dimensionless equations governing the flow are modeled and solved semi-analytically via Akbari-Ganji&rsquo;s Method (AGM). The velocity, energy, concentration and physical characteristics of the flow results are obtained and discussed with the aid of tables and graphs. It is found that a higher value of the slip parameter diminishes the velocity distribution at the annular gap and surfaces, while, the temperature-dependent exponential variability model enhances the fluid velocity.Analysis of fractional differential equations with Antagana-Baleanu fractional operator
http://mcs.qut.ac.ir/article_254910.html
To solve fractional-order differential equations (FODEs) with Antagana-Baleanu fractional operator (ABFO), an efficient strategy based on variational iteration method (VIM) and natural transform(NT) is given. Natural variational iteration technique is the name of this method (NVIM). This work also investigates the convergence of the solution of general FODEs obtained by the suggested method given the theory of fixed point and Banach spaces. Furthermore, the error analysis of the NVIM solution is also discussed. Two problems are solved to validate and efficacy demonstrate the of the present. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the exact solution. The NVIMs numerical results reveal that the technique is simple to implement and computationally appealing.Some new kinds of interpolation formulas and its applications
http://mcs.qut.ac.ir/article_254926.html
In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, using these formulas, some new numerical integration formulas in closed-type and open-type are presented. Absolute error of quadrature formulas show the efficiency of the proposed formulas.