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1. An algorithm for solving the high-order nonlinear Volterra–Fredholm integro-differential equation with mechanization

Author

Wang, Weiming

Subjects
*ALGORITHMS, *INTEGRO-differential equations, *MATHEMATICAL analysis, *DIFFERENTIAL equations, *POLYNOMIALS, *MATHEMATICS
Abstract

Abstract: In this paper, by using the theories and methods of mathematics analysis and computer algebra, a reliable algorithm for solving high-order nonlinear Volterra–Fredholm integro-differential equations was established, and a new Maple procedure voltfredproc was established too. The results of the examples indicated that the procedure voltfredproc of Taylor polynomial method is simple and effective, and could provide an accuracy approximate solution or exact solution of the high-order nonlinear Volterra–Fredholm integro-differential equation. This would be useful for solving integro-differential equation, integral equations and ordinary differential equation. [Copyright &y& Elsevier]

Published
2006
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2. COMPLEXITY CLASSES FOR MULTI-VARIABLE COMPLEXITY FUNCTIONS.

Author

MOGOS, Andrei - Horia and FLOREA, Adina Magda

Subjects
*ALGORITHMS, *MATHEMATICAL functions, *COMPUTATIONAL complexity, *MATHEMATICAL variables, *MATHEMATICS, *DIFFERENTIAL equations, *MATHEMATICAL analysis, *CALCULUS, *EQUATIONS
Abstract

The complexity of an algorithm is usually expressed using complexity functions and complexity classes, in this paper we present a method to reduce the work with multi-variable complexity functions to the work with one-variable complexity functions. We define five complexity classes for multi-variable complexity functions and then we prove some properties for these classes. [ABSTRACT FROM AUTHOR]

Published
2009