HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

الموضوعات : فصلنامه ریاضی

S. M. Mirzaei ¹ (Department of Mathematics, Minoodasht Branch, Islamic Azad University, Minoodasht, Iran Iran, Islamic Republic of)

تاريخ الإرسال : 07 الخميس , رجب, 1437 تاريخ التأكيد : 07 الخميس , رجب, 1437 تاريخ الإصدار : 21 الخميس , ذو الحجة, 1437

الکلمات المفتاحية: Block-Pulse Function, Hybrid functions, Nonlinear Integral Equation,

ملخص المقالة :

In this work, we will compare two approximation method based on hybrid Legendre andBlock-Pulse functions and a computational method for solving nonlinear Fredholm-Volterraintegral equations of the second kind which is based on replacement of the unknown functionby truncated series of well known Block-Pulse functions (BPfs) expansion