Solving the general form of the Emden-Fowler equations with the Moving Least Squares method
عنوان مقاله: Solving the general form of the Emden-Fowler equations with the Moving Least Squares method
شناسه ملی مقاله: JR_JMMO-7-2_005
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_JMMO-7-2_005
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Sasan Asadpour - Department of Mathematics, University of Mazandaran, Babolsar, Iran
AllahBakhsh Yazdani Cherati - Department of Mathematics, University of Mazandaran, Babolsar, Iran
Hassan Hosseinzadeh - Department of Mathematics, University of Mazandaran, Babolsar, Iran
خلاصه مقاله:
Sasan Asadpour - Department of Mathematics, University of Mazandaran, Babolsar, Iran
AllahBakhsh Yazdani Cherati - Department of Mathematics, University of Mazandaran, Babolsar, Iran
Hassan Hosseinzadeh - Department of Mathematics, University of Mazandaran, Babolsar, Iran
In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes their singular behavior at x=۰, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.
کلمات کلیدی: Emden-Fowler equations, Volterra integral equation, moving least squares method
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995415/