TitleAnalytical and Numerical Solutions for Stochastic Integral and Differential Equations in Mathematical Modelling
AbstractStochastic differential equations have a wide range of applications not only in mathematics but also in interdisciplinary sciences, there are many fruitful connections to other mathematical disciplines and the subject is rapidly emerging as a fascinating research field with many interesting important solutions of mathematical models. If we allow for some randomness in some of the coefficients of a differential equation we often obtain a more realistic mathematical model of the situation. The importance of obtaining the exact and approximate solutions of stochastic differential equations is still a significant problem that needs new methods to substantiate exact and approximate solutions. We try to study and establish methods such as Kudryashov method, improved Sub-equation method for exact solutions and semi-implicit Finite Difference scheme, Wavelet methods for numerical solutions of stochastic differential or integral equations.