Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. (Russian, English) Zbl 1313.35093
Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1149- 1170 (2014); translation in Comput. Math. Math. Phys. 54, No. 7, 1122-1143 (2014).
Summary: An algorithm is proposed for the analytical construction of a polynomial solution to the Dirichlet problem for an inhomogeneous polyharmonic equation with a polynomial right-hand side and polynomial boundary data in the unit ball.
MSC:
| 35J40 | Boundary value problems for higher-order elliptic equations |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
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