16773

16773

حل عددي معادلات انتگرال و انتگرال ديفرانسيل فردهلم با استفاده از موجك هاي اسپلاين شبه متعامد

كارشناسي ارشد

رياضي كاربردي - آناليز عددي

مهر 1395

پروفسور خسرو مالك نژاد

دكتر رشيدي نيا

رياضي

1395/12/07

1/1/1900 12:00:00 AM

Abstract: The present thesis is related to numerical solution of series of integral an​d intergro-differential equations of second kind [18, 21]. In first chapter a short introduction of linear numerical algebra an​d functional analysis has been provided. The second chapter deals with history of integral equations an​d types of integral equations. In third chapter of this thesis wavelets an​d B-spline wavelets especially which are made bounded interval is introduced. Chapter four an​d five are allocated to numerical solution of Fredholm integrodifferential equations by using operational matrices B-spline wavelets an​d Wavelet Galerkin method respectively .At the end of these two chapters numerical examples to indicate the effectivenes an​d accuracy of method is provided. Keywords: Fredholm integral equation, integro-differential equation, B-spline wavelets, operational matrices .