(a) If a testator fails to provide in his will for any of his children born or adopted after the execution of his will, the omitted child receives a share in the estate equal in value to that which he would have received if the testator had died intestate unless:

(1) it appears from the will that the omission was intentional;

(2) when the will was executed the testator had one or more children and devised substantially all his estate to the other parent of the omitted child; or

(3) the testator provided for the child by transfer outside the will in an amount equal to or greater than such child's share had the testator died intestate.

(b) If at the time of execution of the will the testator fails to provide in his will for a living child solely because he believes the child to be dead, the child receives a share in the estate equal in value to that which he would have received if the testator had died intestate.

(c) In satisfying a share provided by this section, the devises made by the will abate as provided in section 30-24,100.