On a nonlinear singular one-dimensional parabolic equation and double Laplace decomposition method
نویسندگان
چکیده
منابع مشابه
Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation
n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem.
متن کاملadomian decomposition method on nonlinear singular cauchy problem of euler-poisson- darbuox equation
n this paper, we apply picard’s iteration method followed by adomian decomposition method to solve a nonlinear singular cauchy problem of euler- poisson- darboux equation. the solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by carroll and showalter (1976)in the solution of singular cauchy problem.
متن کاملModified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems
متن کاملLaplace Decomposition Method for Solving Singular Initial Value Problems
In this paper, Laplace Decomposition Method (LDM) which is coupling of Laplace Transform (LT) and Adomian’s Decomposition Method (ADM) is employed to construct the exact solution of two mathematical problems which arises in diverse fields of physics. It has been observed that this proposed coupling is very efficient and reliable for the solution of the nonlinear problems. Numerical results and ...
متن کاملRenormalized Solutions of a Nonlinear Parabolic Equation with Double Degeneracy
with p ≥ 2 and b(s) ≥ 0 appropriately smooth. The equation (1.1) presents two kinds of degeneracy, since it is degenerate not only at points where b(u) = 0 but also at points where ∂ ∂x B(u) = 0 if p > 2. Using the method depending on the properties of convex functions, Kalashnikov [10] established the existence of continuous solutions of the Cauchy problem of the equation (1.1) with f ≡ 0 unde...
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: Advances in Mechanical Engineering
سال: 2017
ISSN: 1687-8140,1687-8140
DOI: 10.1177/1687814016686534