Yazar "Mohanty, Ranjan Kumar" için listeleme
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Fourth-order accurate method based on half-step cubic spline approximations for the 1d time-dependent quasilinear parabolic partial differential equations
Mohanty, Ranjan Kumar; Sharma, Sachin (Işık University Press, 2020)In this article, we discuss a fourth-order accurate scheme based on cubic spline approximations for the solution of quasilinear parabolic partial differential equations (PDE). The stability of the scheme is discussed using ... -
Method based on quasi variable mesh for solution of system of second order boundary value problems with mixed boundary conditions
Nayak, Sucheta; Khan, Arshad; Mohanty, Ranjan Kumar (Işık University Press, 2021)A new numerical method with third order accuracy is presented for the solution of nonlinear two point boundary value problems(BVPs) with mixed boundary conditions using quasi variable mesh. In case of uniform mesh, method ... -
Variable mesh discretization of system of nonlinear singular boundary value problems
Mohanty, Ranjan Kumar; Khan, Arshad; Nayak, Sucheta (Işık University Press, 2020-02-25)In this paper two generalized numerical schemes using variable mesh has been developed to solve the system of nonlinear two point boundary value problems. Analytical convergence using a model fourth order problem has been ...