01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
DEVELOPMENT OF A MULTI CONVERGENCE-CONTROLLER PARAMETRIC PERTURBATION APPROACH FOR SOME LINEAR AND NONLINEAR INTEGRAL EQUATIONS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Multi-parametric approach, Convergence-controller parameters, In- tegral equations.
سال
2015
مجله Romanian Reports in Physics
پژوهشگران خسرو سایوند

چکیده

In this article, some integral equations that have been appeared in the study of physical phenomena are investigated by using the unique properties of the extended homotopy analysis method. In other words, the traditional homotopy analy- sis method is extended to a multi-parametric approach. Also, convergence-controller parameters are introduced to approximate the solutions of such linear and nonlinear integral equations. In this framework, the convergence of the proposed strategies is investigated. Several numerical examples are presented to illustrate the accuracy and effectiveness of the proposed approaches. The obtained results and comparison with other methods provide confirmation for the validity of our numerical schemes.