6 research outputs found
A numerical study using finite element method for generalized RosenauKawahara-RLW equation
In this paper, we are going to obtain the soliton solution of the generalized RosenauKawahara-RLW equation that describes the dynamics of shallow water waves in
oceans and rivers. We confirm that our new algorithm is energy-preserved and
unconditionally stable. In order to determine the performance of our numerical
algorithm, we have computed the error norms L2 and L∞. Convergence of full
discrete scheme is firstly studied. Numerical experiments are implemented to validate
the energy conservation and effectiveness for longtime simulation. The obtained
numerical results have been compared with a study in the literature for similar
parameters. This comparison clearly shows that our results are much better than
the other results
Applications of Mathematical Models in Engineering
The most influential research topic in the twenty-first century seems to be mathematics, as it generates innovation in a wide range of research fields. It supports all engineering fields, but also areas such as medicine, healthcare, business, etc. Therefore, the intention of this Special Issue is to deal with mathematical works related to engineering and multidisciplinary problems. Modern developments in theoretical and applied science have widely depended our knowledge of the derivatives and integrals of the fractional order appearing in engineering practices. Therefore, one goal of this Special Issue is to focus on recent achievements and future challenges in the theory and applications of fractional calculus in engineering sciences. The special issue included some original research articles that address significant issues and contribute towards the development of new concepts, methodologies, applications, trends and knowledge in mathematics. Potential topics include, but are not limited to, the following: Fractional mathematical models; Computational methods for the fractional PDEs in engineering; New mathematical approaches, innovations and challenges in biotechnologies and biomedicine; Applied mathematics; Engineering research based on advanced mathematical tools