Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

Authors : Nihan GÜNGÖR

Pages : 150-162

Doi:10.16984/saufenbilder.779325

View : 19 | Download : 16

Publication Date : 2021-02-01

Article Type : Research Paper

Abstract :In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.
Keywords : bigeometric calculus, bigeometric Volterra integral equations, successive approximations method