کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1702755 | 1012354 | 2016 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An implicit Lie-group iterative scheme for solving the nonlinear Klein–Gordon and sine-Gordon equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An implicit Lie-group iterative scheme for solving the nonlinear Klein–Gordon and sine-Gordon equations An implicit Lie-group iterative scheme for solving the nonlinear Klein–Gordon and sine-Gordon equations](/preview/png/1702755.png)
چکیده انگلیسی
In this article, the nonlinear Klein–Gordon and sine-Gordon equations are solved by pondering the semi-discretization numerical schemes and then, the resulting ordinary differential equations at the discretized spaces are numerically integrated toward the time direction by using the implicit Lie-group iterative method to find the unknown physical quantity. When six numerical experiments are examined, we reveal that the present implicit Lie-group iterative scheme is applicable to the nonlinear Klein–Gordon and sine-Gordon equations and convergent very fast at each time marching step, and the accuracy is raised several orders, of which the numerical results are rather accurate, effective and stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 40, Issue 2, 15 January 2016, Pages 1157–1167
Journal: Applied Mathematical Modelling - Volume 40, Issue 2, 15 January 2016, Pages 1157–1167
نویسندگان
Chih-Wen Chang, Chein-Shan Liu,