Geodesic
A finite difference method for the numerical solving general third-order boundary-value problem with an internal boundary condition
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2017), pp. 35-45

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In this paper we have proposed a finite difference method for the numerical solving general third-order boundary-value problem. Under appropriate conditions we have discussed the convergence of the proposed method. The computational results in experiment on test problems verify the efficiency and theoretically established second order accuracy of the proposed method.
Keywords: boundary-value problem, difference method, nonlinear, second order sonvergence, three-point BVP. 
@article{IVM_2017_12_a3,
     author = {P. K. Pandey},
     title = {A finite difference method for the numerical solving general third-order boundary-value problem with an internal boundary condition},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--45},
     publisher = {mathdoc},
     number = {12},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_12_a3/}
}
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P. K. Pandey. A finite difference method for the numerical solving general third-order boundary-value problem with an internal boundary condition. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2017), pp. 35-45. http://geodesic.mathdoc.fr/item/IVM_2017_12_a3/