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We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions.
A new particle tracking algorithm using a tetrahedral finite element mesh to solve the relevant system of differential equations is described in detail.
The finite element method requires a discretization, or a mesh, to solve the partial differential equations representing a problem with essential boundary conditions.
In this paper, we propose two generalized non-polynomial cubic spline schemes using a variable mesh to solve the system of non-linear singular two point boundary value problems.
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They suggested a parameter-uniform method based on piecewise-uniform Shishkin meshes to solve the problem above.
For spatial discretization on unstructured meshes to solve PDEs on complex geometrical domains, how to efficiently apply the IIF temporal discretization was open.
In [20], two of the authors developed a high order accurate numerical boundary condition procedure for hyperbolic conservation laws, which allows the computation using high order finite difference schemes on Cartesian meshes to solve problems in arbitrary physical domains whose boundaries do not coincide with grid lines.
These are the only changes for the DP r-mesh to solve the LCS problems.
The r-adaptive finite element method has been designed to eliminate possible mesh distortion by changing and optimising the locations of the nodal points without modifying the overall topology of the mesh adopted to solve a given problem.
This paper is concerned with the formulation and development of a numerical moving mesh method to solve time-dependent reaction diffusion convection problems.
To name a few, Mohanty et al. [11 13] developed AGE, cubic spline TAGE, Newton-TAGE iteration methods using a finite difference and cubic spline method based on uniform and non-uniform mesh, respectively, to solve non-linear singular two point boundary value problems.
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