some notes concerning the convergence control parameter in homotopy analysis method

نویسندگان

m. paripour

department of mathematics, islamic azad university, hamedan branch , hamedan, 6518118413, iran. j. saeidian

department of mathematics and computer science, tarbiat moallem university, 599 taleghani avenue, tehran 1561836314, iran.

چکیده

omotopy analysis method (ham) is a promising method for handling func-tional equations. recent publications proved the e ectiveness of ham in solvingwide variety of problems in di erent elds. ham has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. in this work, we clari ed theadvantages and e ects of convergence-control parameter through an example.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some notes concerning the convergence control parameter in homotopy analysis method

omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the eectiveness of HAM in solvingwide variety of problems in dierent elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. In this work, we claried theadvantages and ...

متن کامل

Notes on the homotopy analysis method: Some definitions and theorems

We describe, very briefly, the basic ideas and current developments of the homotopy analysis method, an analytic approach to get convergent series solutions of strongly nonlinear problems, which recently attracts interests of more and more researchers. Definitions of some new concepts such as the homotopy-derivative, the convergence-control parameter and so on, are given to redescribe the metho...

متن کامل

Some notes on convergence of homotopy based methods for functional equations

Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizi...

متن کامل

Some notes on convergence of homotopy based methods for functional equations

Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizi...

متن کامل

On the convergence of the homotopy analysis method to solve the system of partial differential equations

One of the efficient and powerful schemes to solve linear and nonlinear equations is homotopy analysis method (HAM). In this work, we obtain the approximate solution of a system of partial differential equations (PDEs) by means of HAM. For this purpose, we develop the concept of HAM for a system of PDEs as a matrix form. Then, we prove the convergence theorem and apply the proposed method to fi...

متن کامل

On Convergence of q-Homotopy Analysis Method

The convergence of qhomotopy analysis method (q-HAM) is studied in the present paper. It is proven that under certain conditions the solution of the equation: 1 ∅ , ∅ , 0 associated with the original problem exists as a power series in .So,under a special constraint the q-homotopy analysis method does converge to the exact solution of nonlinear problems. An error estimate is also provided. The ...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
نظریه تقریب و کاربرد های آن

جلد ۶، شماره ۲، صفحات ۶۱-۷۲

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023