“…Thus, few numerical techniques were introduced to calculate approximate solutions for such equations. Such as Legendre polynomial [1], Chebyshev polynomial [2], Hermite polynomial [3,4], Bernoulli polynomial [5,6]. Recently, a new method developed to solve numerical problems by the concept of graph theory called Hosoya polynomial, one can refer for graph theory terminologies and developed method in [7,8,9,10,11,12,13].…”