A method of fundamental solutions for the one-dimensional inverse Stefan problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Optimization Method for One- and Two-dimensional Inverse Stefan Problems

In the paper, the oneand two-dimensional two-phase inverse Stefan problems are formulated and described by means of the optimizationmethod. These problems consist of the reconstruction of the function which describes the coe cient of convective heat-transfer, when the position of the moving interface of the phase change is well-known. In numerical calculations the NelderMead optimization method...

A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem

We extend a meshless method of fundamental solutions recently proposed by the authors for the one-dimensional two-phase nverse linear Stefan problem, to the nonlinear case. In this latter situation the free surface is also considered unknown which is ore realistic from the practical point of view. Building on the earlier work, the solution is approximated in each phase by a linear ombination of...

One-phase inverse stefan problem solved by adomian decomposition method

In this paper, the solution of one-phase inverse Stefan problem is presented. The problem consists of the reconstruction of the function which describes the distribution of temperature on the boundary, when the position of the moving interface is well-known. The proposed solution is based on the Adomian decomposition method and the least square method. (~) 2006 Elsevier Ltd. All rights reserved...

An Inverse Stefan Problem