journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1739 Generalized RKM methods for solving classes of fourth-order fractional partial differential equation Kadhim Murtadha A. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Yazdani Allah Bakhsh Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Mechee Mohammed Sahib Information Technology Research and Development Center (ITRDC), University of Kufa, Najaf, Iraq 27 4 675 683 31 05 2024

This paper introduces new techniques for solving some fractional partial differential equations of fourth order (FPDEs). Combining numerical RKM techniques with the method of lines (MOL) led to the development of innovative methods; we apply the developed approach to some cases involving fourth-order FPDEs and compare the numerical and analytical answers. 

 Method of lines System of fourth-order ODEs RKM method Fourth-order PDEs access open retracted no