Results 201 to 210 of about 124,085 (242)
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The alternating group explicit (age) iterative method for variable coefficient parabolic equations
International Journal of Computer Mathematics, 1995In this paper the alternating group explicit (AGE) iterative method is extended to solve the general linear variable coefficient parabolic equation in one dimension under suitable initial and boundary conditions after an appropriate transformation of the differential equation.
D. J. Evans, K. S. Sukon
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On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bildik, Necdet, Özlü, Sevil
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The numerical solution of burgers' equation by the alternating group explicit (age) method
International Journal of Computer Mathematics, 1989In this paper, nonlinear parabolic partial differential equations in one space dimension are solved numerically by using the Alternating Group Explicit (AGE) method (Evans, 1985).
D. J. Evans, M. S. Sahimi
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The Solution of Two-Point Boundary Value Problems by the Alternating Group Explicit (AGE) Method
SIAM Journal on Scientific and Statistical Computing, 1988An iterative method is proposed for the numerical solution of finite difference equations which arise from the linear two-point boundary value problem: \(-u''+q(x)u=f(x)\), \(u(a)=\alpha\), \(u(b)=\beta\). Here the solution of the linear finite difference equation \(Au=b\) is based on a suitable splitting of the matrix A and an alternating strategy ...
Evans, D. J., Yousif, W. S.
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International Journal of Computer Mathematics, 2009
In this article, we study the application of the alternating group explicit (AGE) and Newton-AGE iterative methods to a two-level implicit cubic spline formula of O(k 2+kh 2+h 4) for the solution of 1D quasi-linear parabolic equation u xx =φ (x, t, u, u x , u t ), 0 0 subject to appropriate initial and natural boundary conditions prescribed, where k>0 ...
R. K. Mohanty, M. K. Jain
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In this article, we study the application of the alternating group explicit (AGE) and Newton-AGE iterative methods to a two-level implicit cubic spline formula of O(k 2+kh 2+h 4) for the solution of 1D quasi-linear parabolic equation u xx =φ (x, t, u, u x , u t ), 0 0 subject to appropriate initial and natural boundary conditions prescribed, where k>0 ...
R. K. Mohanty, M. K. Jain
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International Journal of Computer Mathematics, 2009
We discuss alternating group explicit (AGE) iterative method for the numerical solution of linear and non-linear singular integro-differential boundary value problems. The proposed AGE iterative method shows the superiority over the corresponding successive over relaxation (SOR) iterative methods.
Navnit Jha +2 more
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We discuss alternating group explicit (AGE) iterative method for the numerical solution of linear and non-linear singular integro-differential boundary value problems. The proposed AGE iterative method shows the superiority over the corresponding successive over relaxation (SOR) iterative methods.
Navnit Jha +2 more
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International Journal of Computer Mathematics, 1987
In this paper, the point A.G.E. method is extended to obtain the solution of block tridiagonal linear systems derived from the discretisation of multidimensional elliptic boundary value problems. The numerical results obtained agree with the theoretical results presented earlier.
D.J. Evans, W.S. Yousif
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In this paper, the point A.G.E. method is extended to obtain the solution of block tridiagonal linear systems derived from the discretisation of multidimensional elliptic boundary value problems. The numerical results obtained agree with the theoretical results presented earlier.
D.J. Evans, W.S. Yousif
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The numerical solution of the telegraph equation by the alternating group explicit (AGE) method
International Journal of Computer Mathematics, 2003In this paper, the Alternating Group Explicit (AGE) method is developed from a judicious splitting of the implicit equations derived from the finite difference discretisation of the partial differential equations. The resulting equations can be reformulated in a (2 × 2) explicit form resulting in a new stable and efficient method.
David J. Evans, Hasan Bulut†
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International Journal of Computer Mathematics, 1988
In Evans and Sahimi (1988), the Alternating Group Explicit (AGE) method was applied successfully to solve 2 space dimensional problems involving parabolic partial differential equations. Here the operator splitting technique used there is further extended to solve 3 dimensional parabolic problems.
D.J. Evans, M.S. Sahimi
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In Evans and Sahimi (1988), the Alternating Group Explicit (AGE) method was applied successfully to solve 2 space dimensional problems involving parabolic partial differential equations. Here the operator splitting technique used there is further extended to solve 3 dimensional parabolic problems.
D.J. Evans, M.S. Sahimi
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Computer Methods in Applied Mechanics and Engineering, 1990
This method splits a tridiagonal matrix into a pair of \(2\times 2\) block diagonal matrices corresponding to different pairings of neighbouring nodes. Alternate inversion leads to an iterative method similar to the Peaceman-Rachford method but in one dimension.
Evans, D. J., Sahimi, M. S.
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This method splits a tridiagonal matrix into a pair of \(2\times 2\) block diagonal matrices corresponding to different pairings of neighbouring nodes. Alternate inversion leads to an iterative method similar to the Peaceman-Rachford method but in one dimension.
Evans, D. J., Sahimi, M. S.
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