Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions Muhammad Arghand author text article 2017 eng 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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 175 183 http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf ABS-Type Methods for Solving $m$ Linear Equations in $\frac{m}{k}$ Steps for $k=1,2,\cdots,m$ Leila Asadbeigi Hamadan Branch, Islamic Azad University author Majid Amirfakhrian IAUCTB author text article 2017 eng ‎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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 185 207 http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf A Third Order Iterative Method for Finding Zeros of Nonlinear Equations Manijheh Tavoosi Department of Mathematics; Islamic Azad University;Central Tehran Branch author text article 2017 eng ‎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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 209 216 http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf Solving a Class of Partial Differential Equations by Differential Transforms Method Maryam Fahimi Islamic Azad University&amp;lrm;, Dezful Branch author text article 2017 eng ‎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 ‎$\sec$‎. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 217 220 http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions Sara Hosseini Qazvin Branch, Islamic Azad University author text article 2017 eng ‎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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 221 229 http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models Soheila Naghshband Isalamic azad university, West Tehran branch author text article 2017 eng 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. International Journal of Mathematical Modelling & Computations Islamic Azad University, Central Tehran Branch 2228-6225 7 v. 3 (SUMMER) no. 2017 231 237 http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf