ระเบียบวิธีการทำซ้ำอันดับเจ็ดสำหรับการแก้สมการไม่เชิงเส้น
The Seventh-Order Iterative Methods for Solving Nonlinear Equations
Keywords:
สมการไม่เชิงเส้น, ระเบียบวิธีการทำซ้ำ, วิธีนิวตัน-ราฟสัน, อันดับการลู่เข้า, Nonlinear equations, Iterative method, Newton-Raphson method, order of convergenceAbstract
บทความนี้ได้นำเสนอระเบียบวิธีใหม่ที่มี 3 ขั้นตอน ซึ่งสองขั้นตอนแรกใช้หลักการระเบียบวิธี Shengfeng อันดับที่สี่ ทำการวิเคราะห์การลู่เข้าของระเบียบวิธีใหม่เป็นอันดับที่ 7 ได้นำเสนอตัวอย่างของระเบียบวิธีการใหม่นี้กับระเบียบวิธีที่มีอันดับเจ็ดรูปแบบอื่น The study presents a new scheme of three steps, of which the first two steps are based on the fourth order Shengfeng method. The proposed method has order seven. Numerical tests show that the new methods are comparable with the well-known existing methods and give better results.References
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