Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoelastoplastic Equation
AbstractThis paper is devoted to numerical solutions of direct and inverse problems for the nonlinear nonlocal time fractional equation ∂β/∂tβu(x,y,t)−∇·[f(T2)∇u]=2t, where T2=|∇u|2. After solving the direct problem by the method of lines, a numerical method based on discretization of the minimization problem, steepest descent method, and least-squares approach is proposed for the solution of the inverse problem. Numerical examples with noise-free and noisy data illustrate applicability and accuracy of the proposed method to some extent.
Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoelastoplastic Equation
AbstractThis paper is devoted to numerical solutions of direct and inverse problems for the nonlinear nonlocal time fractional equation ∂β/∂tβu(x,y,t)−∇·[f(T2)∇u]=2t, where T2=|∇u|2. After solving the direct problem by the method of lines, a numerical method based on discretization of the minimization problem, steepest descent method, and least-squares approach is proposed for the solution of the inverse problem. Numerical examples with noise-free and noisy data illustrate applicability and accuracy of the proposed method to some extent.
Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoelastoplastic Equation
Zeki, Mustafa (Autor:in) / Tatar, Salih / Tnaztepe, Ramazan
2017
Aufsatz (Zeitschrift)
Englisch
Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoelastoplastic Equation
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