Results 1 to 10 of about 33,351,180 (134)

A Reduced-Dimension Extrapolating Method of Finite Element Solution Coefficient Vectors for Fractional Tricomi-Type Equation

Mathematics, 2023
We here employ a proper orthogonal decomposition (POD) to reduce the dimensionality of unknown coefficient vectors of finite element (FE) solutions for the fractional Tricomi-type equation and develop a reduced-dimension extrapolating FE (RDEFE) method ...
Yuejie Li, Zhendong Luo
doaj   +4 more sources

The conditional stability and an iterative regularization method for a fractional inverse elliptic problem of Tricomi-Gellerstedt-Keldysh type

Mathematical Modelling and Analysis
The present paper is devoted to identifying an inaccessible boundary condition for a fractional elliptic problem of Tricomi-Gellerstedt-Keldysh-type. Using the expansion Fourier method, the considered problem can be reformulated as an operator equation ...
Sebti Djemoui, Mohamed S. E. Meziani, Nadjib Boussetila   +2 more
doaj   +2 more sources

Some numerical solutions of local fractional tricomi equation in fractal transonic flow

Alexandria Engineering Journal, 2021
We investigate numerical solutions of fractional-order Tricomi equation (LFTE) in fractal transonic flow media by employing the method of local fractional q-homotopy transform (LFq-HATM). This method is a combination of methods of homotopy analysis and q-
Mustafa Inc, Zeliha Korpinar, Bandar Almohsen, Yu-Ming Chu   +3 more
doaj   +2 more sources

The Nondifferentiable Solution for Local Fractional Tricomi Equation Arising in Fractal Transonic Flow by Local Fractional Variational Iteration Method

Advances in Mathematical Physics, 2014
We present the nondifferentiable approximate solution for local fractional Tricomi equation arising in fractal transonic flow by local fractional variational iteration method. Some illustrative examples are shown and graphs are also given.
Ai-Min Yang, Yu-Zhu Zhang, Xiao-Long Zhang   +2 more
doaj   +2 more sources

Tricomi problem and integral equations

Учёные записки Казанского университета: Серия Физико-математические науки
Formulas for inverting integral equations that arise when studying the Tricomi problem for the Lavrentyev–Bitsadze equation were derived. Solvability conditions of an auxiliary overdetermined problem in the elliptic part of the mixed domain were found ...
N. B. Pleshchinskii
doaj   +2 more sources

The solution of Tricomi problem for the mixed type equation with Bessel operator with the method of the theory of the integral equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008
In this article the existence and uniqueness of Tricomi problem solution is proven for Lavrentiev–Bizadze equation with the Bessel operator: x−k∂∂x(xk∂u∂x)+signy∂2u∂y2=0 in D area limited with the rectifiable Γ curve, Oy axis and OC:x+y=0 and BC:x−y ...
R. M. Safina
doaj   +2 more sources

The Blow-Up of Solutions to the Cauchy Problem of Semilinear Tricomi Equations with Damping and Mass Terms

Mathematics
This paper is related to the blow-up results of solutions to the Cauchy problem of semilinear generalized Tricomi equations, which contain a scale-invariant damping term and a mass term.
Sen Ming, Xiongmei Fan, Xiao Wu
doaj   +2 more sources

Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
doaj   +2 more sources

Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics

Journal of Advanced Research, 2020
This paper deals with approximating the time fractional Tricomi-type model in the sense of the Caputo derivative. The model is often adopted for describing the anomalous process of nearly sonic speed gas dynamics.
O. Nikan, J.A. Tenreiro Machado, Z. Avazzadeh, H. Jafari   +3 more
doaj   +3 more sources

A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow

Entropy, 2016
The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow.
Jagdev Singh, Devendra Kumar, Juan J. Nieto   +2 more
doaj   +3 more sources