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 d...

We provide a convergence result for numerical schemes approximating nonlocal front propagation equations. Our schemes are based on a recently investigated notion of weak solution for these equations. We also give examples of such schemes, for a dislocation dynamics equation, and for a Fitzhugh-Nagumo type system.