Homogeneous solution of a nonlinear differential equation
نویسندگان
چکیده
منابع مشابه
A solution of nonlinear fractional random differential equation via random fixed point technique
In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
متن کاملA Solution of Riccati Nonlinear Differential Equation using Enhanced Homotopy Perturbation Method (EHPM)
Homotopy Perturbation Method is an effective method to find a solution of a nonlinear differential equation, subjected to a set of boundary condition. In this method a nonlinear and complex differential equation is transformed to series of linear and nonlinear and almost simpler differential equations. These set of equations are then solved secularly. Finally a linear combination of the solutio...
متن کاملApplication of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation
In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution o...
متن کاملStochastic solution of a nonlinear fractional differential equation
A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential process and propagation processes which are spectral integrals of Levy processes.
متن کاملNumerical Solution of a Nonlinear Integro-Differential Equation
An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction A + A → ∅ modeling is discussed. Finite difference method together with the linear approximation of the unknown function is considered. For divergent integrals presented in the equation for dimension d = 2 a regularization is used. Some numerical results are p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0318542-x