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استخدام التقنية شبه التحليلية في حل مسائل القيم الذاتية متعددة المعلمات
Author name:
دعاء رحيم عبود
Supervisor name:
لمى ناجي محمد توفيق
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Baghdad
Language:
English
University location:
Baghdad
First pages:
27T1135 - p.pdf
Abstract:
This thesis is concerned with a semi - analytic technique to find the solution of two parameters, quadratic and MPEVPs for ODE.The technique finds the two parameters, quadratic, multi parameter eigenvalue and the corresponding nonzero eigenvector which represent the solution of the problems in a certain domain.Illustration examples is presented, which provided to demonstrate the efficiency and accuracy of the proposed technique where the suggested solution compared with other methods. Many applications in mathematical physics and electromagnetic or elastic wave equations, chemical reaction theory and nanotechnology such as Mathieu differential equation are solved.Also, we give an observations for control of error, control of residual and we proposed a new formula developed to estimate the error which help to reduces the accounts processes and improve the results are improved.The existing code bvpsuite designed for the estimate the error of solution of boundary value problems was extended by a model for the computation the estimate error for the solution of the problems in thesis
