30 اردیبهشت 1403
منيره نصرتي

منیره نصرتی

مرتبه علمی: دانشیار
نشانی: بناب- دانشگاه بناب
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 04137745000-1650
دانشکده: دانشکده علوم پایه
گروه: گروه ریاضی و علوم کامپیوتر

مشخصات پژوهش

عنوان
Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Nonlinear singular boundary value problem, Operational matrices of derivative and integration, Cubic B-spline wavelets
پژوهشگران منیره نصرتی (نفر اول)، الهام هاشمی زاده (نفر دوم)

چکیده

In this study, wavelet Galerkin method has been developed for solving nonlinear singular boundary value problems associated with physiology science. The quasilinearization technique is applied to reduce the given nonlinear problem to a sequence of linear problems. We modify the resulting set of differential equations at the singular point then treat this set of boundary value problems by using compactly supported cubic B-spline wavelets and Galerkin method. These wavelets are used as testing and weighting functions. The method is computationally attractive, and applications are demonstrated through illustrative examples.