This method is based on the well known Leibnitz’s and product rule; it does not require the lower order derivatives to generate the higher order derivatives. The emerging method from the combination are easy to compute and less tedious. The need for higher derivatives is appreciated and significant in the computation of some numerical integrators that calculate the numerical solutions of differential equations by making use of the higher derivation of differential equations.Keywords: Leibnitz’s theorem, product rule, derivatives, continuous / differentiable functionsJournal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 155 – 15
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License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...
AbstractA formal algorithm is given for the systematic exact evaluation of higher order partial deri...
A certain class of integral identities is derived. These identities relate integrals of derivatives ...
AbstractThe first derivative of the determinant function is given by the well-known Jacobi’s formula...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
In a recent paper, Adamchik [1] expressed in a closed-form symbolic derivatives of four functions be...
Second- and higher-order derivatives are required by applications in scientic computation, espe-cial...
The rate of change of any function versus its independent variables was defined as a derivative. The...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
In 1983 an algorithm ~ was introduced for the systematic exact evaluation of higher-order partial de...
In this work, we use product rule and Leibnitz’s theorem to generate a new method which can be used ...
AbstractWe present new formulae (the Slevinsky–Safouhi formulae I and II) for the analytical develop...
The concept of higher order derivatives is useful in many branches of mathematics and its applicatio...
AbstractIn a recent paper an algorithm FEED was introduced for the systematic exact evaluation of hi...
AbstractUsing quadrature formulas on the semicircle of Gauss-Christoffel type and an integral repres...
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...
AbstractA formal algorithm is given for the systematic exact evaluation of higher order partial deri...
A certain class of integral identities is derived. These identities relate integrals of derivatives ...
AbstractThe first derivative of the determinant function is given by the well-known Jacobi’s formula...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
In a recent paper, Adamchik [1] expressed in a closed-form symbolic derivatives of four functions be...
Second- and higher-order derivatives are required by applications in scientic computation, espe-cial...
The rate of change of any function versus its independent variables was defined as a derivative. The...
AbstractA new type of Taylor series based finite difference approximations of higher-degree derivati...
In 1983 an algorithm ~ was introduced for the systematic exact evaluation of higher-order partial de...