Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines133143663819ENMelisZorsahin GorguluDepartment of Mathematics-Computer, Faculty of Science and Art, Eskisehir Osmangazi University, Eskisehir, TurkeyIdrisDagDepartment of Computer Engineering, Faculty of Engineering and Architecture, Eskisehir Osmangazi University, Eskisehir, TurkeyJournal Article20171208In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Analytical Solution of Steady State Substrate Concentration of an Immobilized Enzyme Kinetics by Laplace Transform Homotopy Perturbation Method145152663820ENDevipriyaGaneshanDepartment of Mathematics,
Stella Maris College,
Chennai - 600 086Journal Article20180606The nonlinear dynamical system modeling the immobilized enzyme kinetics with Michaelis-Menten mechanism for an irreversible reaction without external mass transfer resistance is considered. Laplace transform homotopy perturbation method is used to obtain the approximate solution of the governing nonlinear differential equation, which consists in determining the series solution convergent to the exact solution or enabling to built the approximate solution of the problem. Numerical solutions are obtained and the results are discussed graphically. The method allows to determine the solution in form of the continuous function, which is significant for the analysis of the steady state dimensionless substrate concentration with dimensionless distance on the different support materials.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method153170663821ENNematallahNajafiDepartment of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, IranJournal Article20171020In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show that the approximate solution convergent to the exact solution. Some examples indicate that this method can be easily applied to many linear and nonlinear problems.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Steady-State and Dynamic Simulations of Gas Absorption Column Using MATLAB and SIMULINK171188663822ENNavedSirajCentral Institute of Plastics Engineering and Technology, Bhopal0000-0003-4143-7041AbdulHakimDepartment of Chemical Engineering
Aligarh Muslim University
Aligarh - IndiaJournal Article20180612Separation is one of the most important process in all the chemical industries and the gas absorption is the simplest example of separation process which is generally used for the absorption of dilute components from a gaseous mixture. In the present work, a dynamic system of mathematical equation (algebraic and differential) is modeled to predict the behavior of the absorption column using matrix algebra. The dynamic model was programmed using MATLAB/SIMULINK and S – function was used for building user define blocks to find out the liquid and the gas composition using the standard MATLAB ode45 solver. As a case study, fermentation process is taken as an example to separate CO2 from a mixture of alcohol and CO2 in a tray gas absorber using water as absorbent. The steady state solution was first solved to give the initial condition for the dynamic analysis. Dynamic outcomes for stage compositions was figure out for step changes in the vapor and liquid feed compositions. The model results show good agreement with the practical situation and also compared favorably with results obtained by Bequette. With this work, we are able to provide a readily available simulation that can be used as a test bed for advanced process monitoring.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method189198663823ENGhasemKazemi GelianDepartment of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, IranJournal Article20180215In this paper, numerical solution of general Lane-Emden equation via collocation method based on Double Exponential DE transformation is considered. The method converts equation to the nonlinear Volterra integral equation. Numerical examples show the accuracy of the method. Also, some remarks with respect to run-time, computational cost and implementation are discussed.Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622583 (SUMMER)20180801Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation199206663825ENM.KarimianDepartment mathematics payame noor university of tehran,IranA.KarimianDepartment of Mathematics, University of Tehran, Iran.Journal Article20180608In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.