Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663714 Full Length Article Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions Arghand Muhammad 01 08 2017 7 3 (SUMMER) 175 183 11 01 2017 25 09 2017 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663714.html

In this paper, we propose a technique for determining a source term in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have been applied for solving Partial Di erential Equations (PDEs) by some researchers. In the current study, a stable meshless method will be pro- posed for solving an (IHCP). The other advantage of the method is that can be applied to the problems with various types of boundary conditions. The results of numerical experiments are presented and compared with analytical solutions. The results demonstrate the reliability and efficiency of the proposed scheme.

‎Direct heat conduction problem Inverse heat conduction problem ‎ ‎heat equation Radial basis functions
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663713 Full Length Article ABS-Type Methods for Solving \$m\$ Linear Equations in \$frac{m}{k}\$ Steps for \$k=1,2,cdots,m\$ ABS-Type Methods for Solving \$m\$ Linear Equations in \$frac{m}{k}\$ steps Asadbeigi Leila Hamadan Branch, Islamic Azad University Amirfakhrian Majid IAUCTB 01 08 2017 7 3 (SUMMER) 185 207 08 03 2017 12 11 2017 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663713.html

‎The ABS methods‎, ‎introduced by Abaffy‎, ‎Broyden and Spedicato‎, ‎are‎‎direct iteration methods for solving a linear system where the‎‎\$i\$-th iteration satisfies the first \$i\$ equations‎, ‎therefore a‎ ‎system of \$m\$ equations is solved in at most \$m\$ steps‎. ‎In this‎‎paper‎, ‎we introduce a class of ABS-type methods for solving a full row‎‎rank linear equations‎, ‎where the \$i\$-th iteration solves the first‎‎\$3i\$ equations‎. ‎We also extended this method for \$k\$ steps‎. ‎So‎,‎termination is achieved in at most \$left[frac{m+(k-1)}{k}right]\$‎‎steps‎. ‎Morever in our new method in each iteration, we have the‎‎the general solution of each iteration‎.

ABS methods‎ ‎rank \$k\$ update‎ ‎linear system‎ ‎general‎ ‎solution of a system‎ ‎general solution of an iteration
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663715 Full Length Article A Third Order Iterative Method for Finding Zeros of Nonlinear Equations A Third Order Iterative Method for Finding Zeros of Nonlinear Equations Tavoosi Manijheh Department of Mathematics; Islamic Azad University;Central Tehran Branch 01 08 2017 7 3 (SUMMER) 209 216 05 02 2017 08 09 2017 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663715.html

‎In this paper‎, ‎we present a new modification of Newton's method‎ ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎ ‎proved that the new method converges cubically‎.

‎Newton's method‎ ‎third-order convergency ‎iterative method‎ ‎nonlinear equations
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663716 Full Length Article Solving a Class of Partial Differential Equations by Differential Transforms Method Solving a Class of Partial Differential Equations by Differential Transforms Method Fahimi Maryam Islamic Azad University&amp;lrm;, Dezful Branch 01 08 2017 7 3 (SUMMER) 217 220 11 01 2017 28 07 2017 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663716.html

‎In this work, we find the differential transforms of the functions \$tan\$ and‎ ‎\$sec\$‎, ‎and then we applied this transform on a class of partial differential equations involving \$tan\$ and‎ ‎\$sec\$‎.

Differential Transformation Method‎ ‎Partial Differential Equation ‎ Initial‎ ‎Condition Differential Equations
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663717 Full Length Article Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions Numerical Solution of The Parabolic Equations by VIM and RBF Hosseini Sara Qazvin Branch, Islamic Azad University 01 08 2017 7 3 (SUMMER) 221 229 12 02 2017 07 08 2017 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663717.html

‎In this work‎, ‎we consider the parabolic equation‎: ‎\$u_t-u_{xx}=0\$‎. ‎The purpose of this paper is to introduce the method of‎ ‎variational iteration method and radial basis functions for‎ ‎solving this equation‎. ‎Also, the method is implemented to three‎ ‎numerical examples‎. ‎The results reveal‎ ‎that the technique is very effective and simple.

Radial basis functions‎ ‎Variational iteration‎ method , ‎Parabolic equations‎ Partial Differential Equations
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 Islamic Azad University, Central Tehran Branch 663718 Full Length Article A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models Naghshband Soheila Isalamic azad university, West Tehran branch 01 08 2017 7 3 (SUMMER) 231 237 19 12 2017 12 11 2018 Copyright © 2017, Islamic Azad University, Central Tehran Branch. 2017 http://ijm2c.iauctb.ac.ir/article_663718.html

In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.

Nonlinear age-structured population models Homotopy analysis mehod(HAM) Nonlinearity convergence