1403/01/10
ماشاء اله متین فر

ماشاء اله متین فر

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی: دانشگاه مازندران، دانشکده علوم ریاضی، گروه ریاضی کاربردی.
تلفن: 35302496

مشخصات پژوهش

عنوان
Analytical-approximate solution for nonlinear Volterra integro-differential equations
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Nonlinear Volterra integro-differential equations, Laplace transform method, modified Adomian decomposition method.
سال
2015
مجله Journal of Linear and Topological Algebra
شناسه DOI
پژوهشگران Mashallah Matinfar ، Abbas Riahifar

چکیده

In this work, we conduct a comparative study among the combine Laplace trans- form and modified Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro- differential equations of the second kind. The nonlinear part of integro-differential is approx- imated by Adomian polynomials, and the equation is reduced to a simple equations. The proper implementation of combine Laplace transform and modified Adomian decomposition method can extremely minimize the size of work if compared to existing traditional tech- niques. Moreover, three particular examples are discussed to show the reliability and the performance of method.