A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application

Abstract

Advances in Continuous and Discrete Models: Theory and Modern Applications is a peer-reviewed open access journal published under the brand SpringerOpen. Computational and applied mathematics along with data science play a vital role in contemporary society by driving innovation. This success can be attributed to revolutionary theoretical and algorithmic developments in machine learning, data driven modeling, differential equations, numerical analysis, scientific computing, control, optimization, and computing resources together with new tools to deal with uncertainty and randomness. This journal encourages new research in these broad areas. In addition to research on algorithmic and analytical developments, the journal also encourages papers related to (but not limited to) broad applications in Signal and Image Processing, Computer Vision, Materials Science, Mathematical Biology and Bioengineering. As a result, the journal will be an excellent connecting bridge between mathematical research and real world applications. The journal accepts high-quality articles containing original research results and survey articles of exceptional merit.