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
A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Standard homotopy analysis method Fredholm integral equation Convergence-control parameters Numerical solution
سال
2014
مجله APPLIED MATHEMATICS AND COMPUTATION
پژوهشگران خسرو سایوند

چکیده

This paper suggests a novel multi-parametric homotopy method for systems of Fredholm integral equations. This modified method contains three convergence-control parameters to form an improved homotopy. We present efficient error estimation for the approximate solution. The results of present method are compared with the Adomian decomposition method (ADM), the homotopy perturbation method (HPM) and standard homotopy analysis method results that provides confirmation for the validity of proposed approach. Some test examples are given to clarify the efficiency and high accuracy of the present method. The results reveal that the present method is very effective and convenient.