Newton-Kantorovich method for two-dimensional non-linear singular integral equations

作者：Mustafa Nizami^*

来源：Maejo International Journal of Science and Technology, 2016, 10(1): 41-50.

DOI：10.14456/mijst.2016.4

• non-linear singular integral equation
• Freshet derivative
• Newton-Kantorovich method

Various properties of a class of non-linear singular integral equations defined on a region in the complex plane were investigated. Newton-Kantorovich method for the approximate solution of equations of such type was applied. Sufficient conditions for the convergence of this method in the Holder space were also given.

• 出版日期2016-4