keywords: Fourth order, collocation, block methods, multistep methods
The paper focuses on derivation of fifth order hybrid linear multistep block method (HLMBM) for the solution of fourth order initial value problems (IVPs) in ordinary differential equations (ODEs). We demonstrate the possibility of direct integration of fourth order boundary value problems using the HLMBM. Collocation technique is adopted in the derivation of the HLMBM which is applied as simultaneous integrator to fourth order initial and boundary value problems. The HLMBM possesses the desirable feature of being self-starting as the implementation is in block form. Numerical examples are included to demonstrate the validity and applicability of the proposed OLMBM and comparisons are made with the exact solution to show the desirability of the method. AMS Subject Classification: 65L05, 65L06
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