Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences

Symmetries are important in studying the dynamics of physical systems which turn converted to solve equations. Jarratt’s method and its variants have been used extensively for this purpose. That is why present study, a unified local convergence analysis developed higher order Jarratt-type schemes equations given on Banach space. Such studied multidimensional Euclidean space provided that high derivatives (not appearing schemes) exist. In addition, no errors estimates or results uniqueness solution can be computed given. These problems restrict applicability methods. We address all these by using first derivative (appearing only schemes). Hence, region existing enlarged. Our technique other methods due generality. Numerical experiments from chemistry disciplines applied sciences complete study.