In Differential Equations for Studies in Computational Electrophysiology, pp. 3–11. Springer (2023). [4] Fourth-order compact schemes for the numerical simulation of coupled Burgers’ equation .

Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

APPM 5470, Methods of Applied Mathematics: Partial Differential and Integral Equations, Fall 2017. Announcements. On 10/2, HW 3 was updated due to confusion with problem A1c. On 9/14, HW 2 was updated ...

ES_APPM 440: Integral Equations and Applications VIEW ALL COURSE TIMES AND SESSIONS Description. Integral equations in various scientific theories and their relation to differential equations. Methods ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...