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In the present paper, we have derived generalized non-polynomial cubic spline schemes of second- and third-order using a variable mesh for solving system of two point boundary value problems (1 - 2).
Such ongoing work motivated us to develop an efficient non-polynomial cubic spline scheme to solve the system of non-linear singular boundary value problems using a variable mesh.
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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FEM simulations are very suitable to simulate NW arrays with various shapes as they use a variable mesh to model the desired geometry.
Our methods are also applicable to problems in cartesian as well as polar coordinates with minor modifications and even higher-order singularly perturbed boundary value problems can be solved easily due to the use of a variable mesh.
In this article, with three grid points, we have derived two new methods of order two and three for the solution of the BVP (1.1 - 1.2 1.1 - 1.2qusingvariable mesh.
In this article, we derived finite difference techniques (2.7a - 2.7b 2.7a - 2.7band (2.21a)-(2.21b) of third order accuraciesecondthe fourth order BVPs of the type (1.1)-(1.2), using anduasi-variable mesh.
Also a variable mesh has been extensively used by many authors.
The MAEs and RMSEs so obtained are tabulated in Table 14 using a uniform mesh and in Table 15 using a quasi-variable mesh.
If necessary, the graft was stabilised using a titanium mesh.
Further reinforcement was done using a polypropylene mesh.
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