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The properties of Bernstein Polynomials, together with Bernstein operational matrix for differentiation formula, are presented and utilized to reduce the given singular boundary value problems to the set of algebraic equations.
In this method, the properties of the Caputo derivative are used to reduce the given fractional differential equation into a Volterra integral equation.
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It is shown that the locally transversal linearization (LTL) procedure finally reduces the given set of non-linear ordinary differential equations (ODEs) to a set of transcendental algebraic equations with the desired solution vector as the unknown.
Our method consists of reducing the given weakly singular integral equation to a set of algebraic system by expanding the unknown function by Chebyshev polynomials of the first kind.
Similarly, the OECD has identified increased investment in higher education as a way to reduce the deficit, given the much higher tax returns from a highly skilled workforce.
The most controversial issue has been the move to reduce the emphasis given to ethnicity, culture, linguistic background and religion when matching a child to adopters.
In this section, we reduce the model given in (69) and (70) to a mean excitatory and mean inhibitory model.
The plan was to reduce the weighting given to two of the 10 criteria for the daily living element - dressing and managing toilet needs.
The O2- molecule was able to reduce the NBT, giving an insoluble purple formazan.
This product, however, can be easily reduced at the given potential to the dihydrothiadiazepine(V).
And they call analysis the reducing of the given syllogism into the proper schemata {9}.
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