TY - JOUR AU - Rao, Ling AU - Chang, Shih-Sen PY - 2018 TI - Numerical solution for a nonlinear obstacle problem JO - Journal of Nonlinear Sciences and Applications SP - 1302--1312 VL - 11 IS - 12 AB - A monotone iterations algorithm combined with the finite difference method is constructed for an obstacle problem with semilinear elliptic partial differential equations of second order. By means of Dirac delta function to improve the computation procedure of the discretization, the finite difference method is still practicable even though the obstacle boundary is irregular. The numerical simulations show that our proposed methods are feasible and effective for the nonlinear obstacle problem. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.12.02 DO - 10.22436/jnsa.011.12.02 ID - Rao2018 ER -