Recent Developments in the Solution of Nonlinear Differential Equations

• Other Authors: Carpentieri, Bruno (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: IntechOpen 2021
• Subjects: Calculus; boundary element method, green's function, fourier transform, decomposition, fixed point, optimal control
• Online Access: DOAB: download the publication; DOAB: description of the publication

Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.