Mathematical Problems in Engineering • Vol 2020
Implicit Two-Point Block Method for Solving Fourth-Order Initial Value Problem Directly with Application
September 2020 • Reem Allogmany, Fudziah Ismail, Zanariah Abdul Majid, Zarina Bibi İbrahim
This paper proposes an implicit block method with two-point to directly solve the fourth-order Initial Value Problems (IVPs). The implicit block method is derived by adopting Hermite interpolating polynomial as the basis function, incorporating the first derivative of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>f</mml:mi><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi><…