MTSC 860 - ADVANCED PERTURBATION THEORY

Institution:

Delaware State University

Subject:

Mathematical Sciences

Description:

The aim of the course is to lay an introduction to the perturbation theory to solve ordinary differential equations, partial differential equations as well as integral equations. Topics that will be covered in this course are Regular perturbations; Error Estimates; Periodic solutions and Lindstedt Series, Harmonic Resonance, Duffing's equation, Multiple Scales, Struble's Method, Averaging, Krylov-Bogoliubov Method of Averaging, Krylov-Bogoliubov-Mitropoloski generalized method of Averaging; Forced Duffing and Van der Pol's equations, Wentzel-Kramer-Brillouin-Jeffreys (WKBJ) Approximation, Fredholm's Alternative, Latta's method of composite expansion; Matched Asymptotic Expansion. The emphasis in this course is on the adaptation of these mathematical methods and techniques to their swift and effective application in solving advanced problems in applied mathematics and theoretical physics.Credit, three hours.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.desu.edu

Phone Number:

(302) 857-6060

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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