β Scribed by George Adomian
No coin nor oath required. For personal study only.
Problems such as conduction of nerve impulses, behavior of the immune system or of effects of medication, and many others, when modelled by differential equations, are amenable to solution by a mathematical procedure called the decomposition method. This method is efficient and accurate; it makes unnecessary the usual restrictive assumptions which change the problem, sacrificing realism for tractability, in order to use the well-known procedures. As an example, the Fitzhugh-Nagumo equation will be discussed.
π SIMILAR VOLUMES
In this paper, the error function and the complementary error function of a matrix are introduced. Basic properties of these matrix functions are studied and applied to the inverse Laplace transform of a matrix function and to solve coupled diffusion models in a semi-infinite medium.
A mathematical analysis is given for a self-consistent dynamic model for of sheaths in the frequency range between the ion and electron plasma frequencies for arbitrary collision parameters and arbitrary if sheath voltages. Based on this analysis, an algorithm is developed to solve the problem numer
The course will show what modelling theories and techniques exist, how they can be applied to real world problems, indicating the successes which can be achieved and, equally, the constraints which must be observed. It will also show how dynamic modelling can provide insight into the nature of physi