۱۲۰۲۰پ
per
حل عددی رده‌ای از معادلات دیفرانسیل منفرد و تاخیری با استفاده از سیستم موجک های چندگانه دو متعامدی
/ربابه محمدزاده
: علوم ریاضی
چاپی
فاقد فایل word
کارشناسی ارشد
ریاضی کاربردی
۱۳۹۴/۰۵/۲۵
تبریز
.Over the last decade, wavelets have found applications in various sciences. Particularly,in recent years, study of multiwavelets system and its application is significantly increased. The reason for this is the optimal features of wavelet such as orthogonality, symmetry, having high numbers of vanish moments and closed form which is in fact the most important advantage of them towards scalar wavelet. In this work, we will introduce the structure of biorthogonal multiwavelets based on cubic Hermite splines multiscaling functions on the bounded interval. These functions have remarkable properties like small compact support, high order of accuracy, symmetry and interpolatory nature. These basis can be easily used to solve different problems due to their simple structure and straightforward simulation. Here is trying to provide new schemes based on the mentioned multiscaling functions and the corresponding biorthogonal multiwavelets for numerical analysis of a class of singular differential equations. Also, we shall study some control problems like time-varying delay systems and optimal control of delay systems by new proposed hybrid basis. Illustrative examples are included to demonstrate the validity and applicability of these techniques. The obtained reslts show the accuracy and considerable convergence of proposed numerical methods
محمدزاده، ربابه
لکستانی، مهرداد، استاد راهنما
حجتی، غلامرضا، استاد مشاور
سیاه و سفید
نمایه‌سازی قبلی
