ORIGINAL_ARTICLE Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions 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. http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf 2017-08-01 175 183 ‎Direct heat conduction problem Inverse heat conduction problem ‎ ‎heat equation Radial basis functions Muhammad Arghand mu.arghand@gmail.com 1 LEAD_AUTHOR
ORIGINAL_ARTICLE ABS-Type Methods for Solving $m$ Linear Equations in $\frac{m}{k}$ Steps for $k=1,2,\cdots,m$ ‎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. http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf 2017-08-01 185 207 ABS methods‎ ‎rank $k$ update‎ ‎linear system‎ ‎general‎ ‎solution of a system‎ ‎general solution of an iteration Leila Asadbeigi lbeigi14@yahoo.com 1 Hamadan Branch, Islamic Azad University AUTHOR Majid Amirfakhrian amirfakhrian@iauctb.ac.ir 2 IAUCTB LEAD_AUTHOR
ORIGINAL_ARTICLE A Third Order Iterative Method for Finding Zeros of Nonlinear Equations ‎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. http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf 2017-08-01 209 216 ‎Newton's method‎ ‎third-order convergency ‎iterative method‎ ‎nonlinear equations Manijheh Tavoosi manij_tavoosi@yahoo.com 1 Department of Mathematics; Islamic Azad University;Central Tehran Branch LEAD_AUTHOR
ORIGINAL_ARTICLE Solving a Class of Partial Differential Equations by Differential Transforms Method ‎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 ‎$\sec$‎. http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf 2017-08-01 217 220 Differential Transformation Method‎ ‎Partial Differential Equation ‎ Initial‎ ‎Condition Differential Equations Maryam Fahimi mar_fahimi@yahoo.com 1 Islamic Azad University&amp;lrm;, Dezful Branch LEAD_AUTHOR
ORIGINAL_ARTICLE Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions ‎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. http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf 2017-08-01 221 229 Radial basis functions‎ ‎Variational iteration‎ method , ‎Parabolic equations‎ Partial Differential Equations Sara Hosseini s_hosseini66@yahoo.com 1 Qazvin Branch, Islamic Azad University LEAD_AUTHOR
ORIGINAL_ARTICLE A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models 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. http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf 2017-08-01 231 237 Nonlinear age-structured population models Homotopy analysis mehod(HAM) Nonlinearity convergence Soheila Naghshband s_naghshband@yahoo.com 1 Isalamic azad university, West Tehran branch LEAD_AUTHOR