2020-03-31T06:20:00Z http://ijm2c.iauctb.ac.ir/?_action=export&rf=summon&issue=1132709
2017-08-01
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<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. ‎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
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, ‎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. 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
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<br /> ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎<br /> ‎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
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<br /> ‎\$sec\$‎, ‎and then we applied this transform on a class of partial differential equations involving \$tan\$ and‎<br /> ‎\$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
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\$‎.<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. 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
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