The Differential Transform Method as an Effective Tool to Solve Implicit Hessenberg Index-3 Differential-Algebraic Equations

Algorithm 1

DTM algorithm.

	input
	read ;
	read , , and ;
	read and
	output
	the approximate solution: ;
	while do
	compute ,
	end
	initialization
	;
	Compute ;
	Solve the algebraic system and for and ;
	, ;
	;
	while do
	Solve for ;
	Solve for ;
	;
	end
	, , and .