scholarly journals Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge–Ampère type equation

2016 ◽  
Vol 308 ◽  
pp. 102-123 ◽  
Author(s):  
Hilary Weller ◽  
Philip Browne ◽  
Chris Budd ◽  
Mike Cullen
Keyword(s):  
Numerical Solution ◽  
Optimal Transport ◽  
Type Equation ◽  
Mesh Adaptation ◽  
Monge Ampere

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets

2021 ◽  
Author(s):  
Le Mau Hai ◽  
Vu Van Quan
Keyword(s):  
Pseudoconvex Domain ◽  
Hölder Continuity ◽  
Type Equation ◽  
Holder Continuity ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Strictly Pseudoconvex Domain ◽  
Monge Ampere

In this paper, we establish existence of Hölder continuous solutions to the complex Monge–Ampère-type equation with measures vanishing on pluripolar subsets of a bounded strictly pseudoconvex domain [Formula: see text] in [Formula: see text].

scholarly journals the numerical solution of two point boundary value problem for the Helmholtz type equation by finite difference method with non regular step length between nodes

2021 ◽  
Vol 1 (1) ◽  
pp. 18-23
Author(s):  
Pramod Pandey
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Numerical Solution ◽  
Difference Method ◽  
Boundary Value ◽  
Type Equation ◽  
Step Length ◽  
Computational Results ◽  
Order Of Accuracy ◽  
Variable Step

In this article, we have presented a variable step finite difference method for solving second order boundary value problems in ordinary differential equations. We have discussed the convergence and established that proposed has at least cubic order of accuracy. The proposed method tested on several model problems for the numerical solution. The numerical results obtained for these model problems with known / constructed exact solution confirm the theoretical conclusions of the proposed method. The computational results obtained for these model problems suggest that method is efficient and accurate.

On a time-depending Monge–Ampère type equation

2012 ◽  
Vol 75 (10) ◽  
pp. 4006-4013 ◽  
Author(s):  
B. Brandolini
Keyword(s):  
Type Equation ◽  
Monge Ampere

Numerical solution of the Monge–Ampère equation by a Newton's algorithm

2005 ◽  
Vol 340 (4) ◽  
pp. 319-324 ◽  
Author(s):  
Grégoire Loeper ◽  
Francesca Rapetti
Keyword(s):  
Numerical Solution ◽  
Monge Ampere

Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

2016 ◽  
Vol 11 (4) ◽  
Author(s):  
Hossein Jafari
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Decomposition Method ◽  
Gordon Equation ◽  
Adomian Decomposition Method ◽  
Type Equation ◽  
Decomposition Methods ◽  
Adomian Decomposition ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we apply two decomposition methods, the Adomian decomposition method (ADM) and a well-established iterative method, to solve time-fractional Klein–Gordon type equation. We compare these methods and discuss the convergence of them. The obtained results reveal that these methods are very accurate and effective.

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