International Journal of Industrial Mathematics
Year:2019 | Volume:11 | Issue:1|Papers Count:7

This study aims to examine the pulsatile ow of blood through tapered artery with a stenosis under the e ects of body acceleration and external magnetic  eld. Blood ow is modeled as non-Newtonian micropolar uid. The non-linear governing equations of continuum and momentum in the cylindrical coordinate are being discretized using a  nite di erence approach and have been solved iteratively, through Crank-Nicolson method. The blood velocity distribution, volumetric ow rate and Resistance to blood ow at the stenosis throat are computed for various values of angle of tapering, amplitudes of body acceleration and Hartman number. It is shown that the results are in good agreement with the previous studies.

In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coe cient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We  rst use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex interval vector that satis es the mentioned system.

This paper proposes a numerical method to deal with the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation usually is of major challenge in the frame work of the numerical solutions of partial di erential equations. The method bene ts from collocation radial basis function method, the generalized thin plate splines (GTPS) radial basis functions are used. Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step). The present technique is one of the truly meshless methods in where it does not require any background integration cells over local or global domains and it is in contrast to weak form methods in where all integrations are carried out locally or globally over quadrature domains of regular shapes, such as lines in one dimensions, circles or squares in two dimensions and spheres or cubes in three dimensions. The obtained results for some numerical examples reveal that the proposed technique is very e ective, convenient and quite accurate to such considered problems.

This paper proposes a numerical method to deal with the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation usually is of major challenge in the frame work of the numerical solutions of partial di erential equations. The method bene ts from collocation radial basis function method, the generalized thin plate splines (GTPS) radial basis functions are used. Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step). The present technique is one of the truly meshless methods in where it does not require any background integration cells over local or global domains and it is in contrast to weak form methods in where all integrations are carried out locally or globally over quadrature domains of regular shapes, such as lines in one dimensions, circles or squares in two dimensions and spheres or cubes in three dimensions. The obtained results for some numerical examples reveal that the proposed technique is very e ective, convenient and quite accurate to such considered problems.

Integro-di erential equations play a fundamental role in various  elds of applied mathematics. The solutions of many engineering problems in general and mechanics and physics in particular, lead to this kind of equations. This paper focuses on the fuzzy Volterra integro-di erential equation of n􀀀 th order of the second-kind with nonlinear fuzzy kernel and initial values. This equation is transformed to a nonlinear fuzzy Volterra integral equation in multi-integrals by application of a certain analytic solution adapted on fuzzy n􀀀 th order derivation under generalized Hakuhara derivative. The derived integral equations are solvable, the solutions of which are unique under certain conditions. The existence and uniqueness of the solutions are investigated in a theorem and an upper boundary is found for solutions. An easily-followed algorithm is provided to illustrate the process. The application of the proposed method helps solving the equation on the basis of the Adomian decomposition method under generalized H-derivation. Comparison of the exact and approximated solutions shows the least error.

The concept of trade-o reviews the rate of marginal substitution of inputs and outputs onto the e cient frontier; moreover, marginal rates of substitution (MRS) are important quantities for analysts and managers. In the current study, by changing Asmilds (2004) method, an algorithm has been found that can be used to calculate the marginal rate of the free disposal hull (FDH) model. An empirical study on 20 Iranian bank branches has been presented to illustrate the proposed approach.

Ill-posed problems arise as inverse problems in many areas of science and engineering. The  rst type Fredholm integral equation is a special kind of the inverse problem. A large number of inverse problems of mathematical physics have been translated into the  rst type Fredholm integral equation to solve the problem of computing. Fredholm integral equation of the  rst kind is one of the inverse problems that arise in many areas of science, physical models such as radiography, stereology, spectroscopy, cosmic radiation and engineering  elds such as image processing and electromagnetic. In this paper, we use the collocation method for to  nd an approximate solution of the problem by cubic B-spline basis. The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of proposed method.