in this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. but we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as legendre ...

The kinetic study of methylene blue (MB) adsorption using acid-activated spent tea (AAST) as an adsorbent from aqueous solution with the aim of comparing linear and non-linear regression analysis methods was performed at varying initial MB concentrations (10-100 mg/l). Hence, spent tea leaves, which were activated using concentrated sulfuric acid, were prepared. The physicochemical characterist...

In this work quantitative structure activity relationship (QSAR) methodology was applied for modeling and prediction of cellular response to polymers that have been designed for tissue engineering. After calculation and screening of molecular descriptors, linear and nonlinear models were developed by using multiple linear regressions (MLR) and artificial neural network (ANN) methods. The root m...

The article shows differences of presented models from used in exact science. It analyzes the reasons why for mathematic economic and social systems we cannot reach quantitative correlation modeling results with indicators real processes. discusses qualitative identity non-linear effects processes natural scientific, systems. Irremovable uncertainty system behavior connected this chaotic compon...