Nonlinear problems and their solutions using the MTSM are analyzed in detail, including step-by-step simplification and transformations of the problem into several autonomous systems that are compared. The new nonlinear problem (Kepler problem) has been added and other experiments were revised. The results obtained by MTSM are compared with state-of-the-art MATLAB solvers. Several examples of linear and nonlinear problems are introduced in Section 3 namely, movement of a charged particle ( Section 3.1), calculation of Fourier coefficients ( Section 3.2) and Kepler problem ( Section 3.3). ![]() Subsections 2.1 and 2.2 focus on the solution of linear and nonlinear problems using MTSM, respectively. In Section 2, MTSM and its properties is introduced. The article consists of several sections. In the article, ODEs are solved using a high order variable-step variable-order numerical integration method – Modern Taylor Series Method (abbreviated as MTSM in the article). The solution of the technical IVPs means to find the numerical solution of the system of ordinary differential equations (ODEs). ![]() The article deals with the solution of technical initial value problems (IVPs).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |