کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
474487 698899 2006 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpolation for nonlinear BVP in circular membrane with known upper and lower solutions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Interpolation for nonlinear BVP in circular membrane with known upper and lower solutions
چکیده انگلیسی

A successive nonextrapolatory linear interpolation is described to solve a singular two-point boundary value problem arising in circular membrane theory. The problem is associated with a second-order nonlinear ordinary differential equation for which the upper and lower bounds of the solution is analytically established/known. The importance and the scope of these bounds in solving the problem is stressed. Also depicted graphically are the lower and upper solutions as well as the true and iterated solutions. In addition, discussed are the reasons why linear interpolation, and not nonlinear interpolation or bisection which are possible procedures, has been employed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 51, Issues 6–7, March–April 2006, Pages 1021-1046