Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions 175 183 663714 EN Muhammad Arghand Journal Article 2017 01 11 In this paper, we propose a technique for determining a source term<br /> in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have<br /> been applied for solving Partial Di erential Equations (PDEs) by some<br /> researchers. In the current study, a stable meshless method will be pro-<br /> posed for solving an (IHCP). The other advantage of the method is that<br /> can be applied to the problems with various types of boundary conditions.<br /> The results of numerical experiments are presented and compared with<br /> analytical solutions. The results demonstrate the reliability and efficiency of<br /> the proposed scheme.
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 ABS-Type Methods for Solving \$m\$ Linear Equations in \$frac{m}{k}\$ Steps for \$k=1,2,cdots,m\$ 185 207 663713 EN Leila Asadbeigi Hamadan Branch, Islamic Azad University Majid Amirfakhrian IAUCTB Journal Article 2017 03 08 ‎The ABS methods‎, ‎introduced by Abaffy‎, ‎Broyden and Spedicato‎, ‎are‎<br />‎direct iteration methods for solving a linear system where the‎<br />‎\$i\$-th iteration satisfies the first \$i\$ equations‎, ‎therefore a‎ ‎system of \$m\$ equations is solved in at most \$m\$ steps‎. ‎In this‎<br />‎paper‎, ‎we introduce a class of ABS-type methods for solving a full row‎<br />‎rank linear equations‎, ‎where the \$i\$-th iteration solves the first‎<br />‎\$3i\$ equations‎. ‎We also extended this method for \$k\$ steps‎. ‎So‎,<br />‎termination is achieved in at most \$left[frac{m+(k-1)}{k}right]\$‎<br />‎steps‎. ‎Morever in our new method in each iteration, we have the‎<br />‎the general solution of each iteration‎.
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 A Third Order Iterative Method for Finding Zeros of Nonlinear Equations 209 216 663715 EN Manijheh Tavoosi Department of Mathematics; Islamic Azad University;Central Tehran Branch Journal Article 2017 02 05 ‎In this paper‎, ‎we present a new modification of Newton's method‎<br /> ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎<br /> ‎proved that the new method converges cubically‎.
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 Solving a Class of Partial Differential Equations by Differential Transforms Method 217 220 663716 EN Maryam Fahimi Islamic Azad University&amp;lrm;, Dezful Branch Journal Article 2017 01 11 ‎In this work, we find the differential transforms of the functions \$tan\$ and‎<br /> ‎\$sec\$‎, ‎and then we applied this transform on a class of partial differential equations involving \$tan\$ and‎<br /> ‎\$sec\$‎.
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions 221 229 663717 EN Sara Hosseini Qazvin Branch, Islamic Azad University Journal Article 2017 02 12 ‎In this work‎, ‎we consider the parabolic equation‎: ‎\$u_t-u_{xx}=0\$‎.<br /> ‎The purpose of this paper is to introduce the method of‎<br /> ‎variational iteration method and radial basis functions for‎<br /> ‎solving this equation‎. ‎Also, the method is implemented to three‎<br /> ‎numerical examples‎. ‎The results reveal‎<br /> ‎that the technique is very effective and simple.
Islamic Azad University, Central Tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 7 3 (SUMMER) 2017 08 01 A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models 231 237 663718 EN Soheila Naghshband Isalamic azad university, West Tehran branch Journal Article 2017 12 19 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.