Geometric analysis of a nonlinear boundary value problem from physical oceanography
SIAM Journal on Mathematical Analysis
Finite difference scheme for variational inequalities
Journal of Optimization Theory and Applications
Finite-difference method for a system of third-order boundary-value problems
Journal of Optimization Theory and Applications
Computational techniques for solving differential equations by quadratic, quartic and octic spline
Advances in Engineering Software
Numerical solutions of second-order matrix models using cubic-matrix splines
Computers & Mathematics with Applications
Numerical solution ofmatrix differential models using cubic matrix splines
Computers & Mathematics with Applications
Numerical solutions of matrix differential models using cubic matrix splines II
Mathematical and Computer Modelling: An International Journal
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We use uniform cubic polynomial splines to develop a numerical method for computing approximations to the solution of a system of third-order boundary value problem associated with odd-order obstacle problems. Such problems arise in physical oceanography and can be studied in the framework of variational inequality theory. The convergence analysis of the new method is studied and an upper bound for the error is derived. A numerical example is given to illustrate the efficiency of the new method.