کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838812 908372 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence of the homotopy perturbation method for partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Convergence of the homotopy perturbation method for partial differential equations
چکیده انگلیسی

In this paper, we introduce a homotopy perturbation method to obtain exact solutions to some linear and nonlinear partial differential equations. This method is a powerful device for solving a wide variety of problems. Using the homotopy perturbation method, it is possible to find the exact solution or an approximate solution of the problem. Convergence of the method is proved. Some examples such as Burgers’, Schrödinger and fourth order parabolic partial differential equations are presented, to verify convergence hypothesis, and illustrating the efficiency and simplicity of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 5, October 2009, Pages 2633–2640
نویسندگان
, ,