Simple and efficient fifth order solvers for systems of nonlinear problems

• Published in: Mathematical modelling and analysis Vol. 28; no. 1; pp. 1 - 22
• Main Authors: Singh, Harmandeep, Sharma, Janak Raj
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 01.01.2023
• Subjects: Algorithms; Approximation; computational complexity; Computational efficiency; Computing costs; Convergence (Mathematics); convergence order; Differential equations, Nonlinear; Efficiency; Iterative methods; iterative techniques; Mathematical research; Neighborhoods; Nonlinear equations; Nonlinear systems; India; nonlinear systems; convergence order; iterative techniques; computational complexity

In this study, two multi-step iterative techniques of fifth order convergence are explored to solve nonlinear equations. The techniques are designed with the prime objective of keeping the computational cost as low as possible. To claim this objective, the efficiency indices are determined and compa...