The magnetic diffusion Equation (1) can be reduced to an algebraic equation by using the functional form (3) and the Laplace transform of the time derivative (7), giving: k^{2}textbf{B} - smusigma textbf{B} = 0. (8).
The first method uses the well-known finite difference method, while the second solves the equations by using the functional approximation method.
Furthermore, they are often used in the functional equations, fractional partial differential equations, ordinary and partial differential equations, operator theory and optimal control theory [1, 3, 7, 13, 15, 16, 17, 26, 28, 29].
By using this functional equation, we derive the subdivision property unification of the Bernstein-type polynomials S n ( b, s, x ).
By using the above functional equation, we arrive at the following theorem.
By using the above functional equation and (2), we derive the subdivision property for the polynomials S n ( b, s, x ) by the following theorem.
By using this functional equation, we derive two identities for the Bernstein type basis functions.
By using this functional equation, we arrive at the following theorem.
By using the above functional equations, we have the following theorem.
