Every Power Series is a Taylor Series

In this article, a new method has been developed for solving the mixed second kind Volterra–Fredholm integral equations numerically. A method is introduced in this paper is known as the Bernoulli matrix method. It is applied for solving mixed VFIE’s integral equations. The one property of this method is that it reduces the degree of the problem for solving a structure of algebraic equations. Our proposed method is introduced and it is applied to convert the integral equation into the algebraic equation using of Bernoulli matrix equation. Finally, there are some numerical results that have been given for illustrating the efficiency and exactness of this method.

Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials

/pdf/sur-une-classe-d-equations-differentielles-lineaires-binomes-3nnkm8f8uv.pdf

Sur une classe d'équations différentielles linéaires binômes à coefficients algébriques

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Sur une classe d'équations différentielles linéaires binômes à coefficients algébriques