2022-07-04T00:28:52Z http://ijm2c.iauctb.ac.ir/?_action=export&rf=summon&issue=1132709
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions Muhammad Arghand 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 2017 08 01 175 183 http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) ABS-Type Methods for Solving $m$ Linear Equations in $frac{m}{k}$ Steps for $k=1,2,cdots,m$ Leila Asadbeigi Majid Amirfakhrian ‎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 2017 08 01 185 207 http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) A Third Order Iterative Method for Finding Zeros of Nonlinear Equations Manijheh Tavoosi ‎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 2017 08 01 209 216 http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) Solving a Class of Partial Differential Equations by Differential Transforms Method Maryam Fahimi ‎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 2017 08 01 217 220 http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions Sara Hosseini ‎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 2017 08 01 221 229 http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf
2017-08-01 10.30495
International Journal of Mathematical Modelling & Computations 2228-6225 2228-6225 2017 7 3 (SUMMER) A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models Soheila Naghshband 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 2017 08 01 231 237 http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf