On the application of a fourth-order two-point method to Chandrasekhar's integral equation
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In this study, a new iteration of order four is introduced on Banach spaces. We establish, using a new system of recurrence relations, a semilocal convergence theorem under the same conditions as for Newton's method. Next, we use this theorem to obtain the existence of a unique solution of a Chandrasekhar equation. Finally, this solution is approximated by the fourth-order method.
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