A new analytical strategy based on a wavelet computing technique for solving Fokker-Plank equation arises in stochastic phenomena

A relatively recent method called the Hermite Wavelet Method (HWM) is used to design a simple strategy for solving the Fokker-Planck equation (FPE) for a given pair of drift and diffusion functions in stochastic phenomena. The Fokker-Plank equation is analyzed for Morse, Hulthen and logarithmic potentials. The joint and marginal probability density functions of FPE are obtained. The strategy is efficient to apply to many linear and nonlinear problems and can significantly reduce computing labour. To demonstrate the applicability and effectiveness of the approach and to obtain the probability distribution functions of FPE, illustrative examples are provided. Mathematical subject classification: 35K20