TY - JOUR TI - Homotopy perturbation method for solving fourth – order boundary value problems with additional boundary condition AU - Filipowska, Renata TI - Homotopy perturbation method for solving fourth – order boundary value problems with additional boundary condition AB - This paper presents the homotopy perturbation method for solving linear and non–linear two–point boundary value problems in the form of a fourth–order differential equation and five boundary conditions. Three initial and two final conditions were taken into account. The solution of this problem is possible only when the considered equation includes an unknown parameter. The presented method has been illustrated with a numerical example. VL - 2017 IS - Volume 9 Year 2017 (114) PY - 2017 SN - 0011-4561 C1 - 2353-737X SP - 173 EP - 179 DO - 10.4467/2353737XCT.17.158.7170 UR - https://ejournals.eu/en/journal/czasopismo-techniczne/article/homotopy-perturbation-method-for-solving-fourth-order-boundary-value-problems-with-additional-boundary-condition KW - boundary value problem KW - homotopy perturbation method KW - system of integral equations KW - system of differential equations