- 期刊
FINITE DIFFERENCE METHODS FOR COMPUTING EIGENVALUES OF FOURTH ORDER BOUNDARY VALUE PROBLEMS
摘要
This brief report describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation y^(4) (p(x)- λq(x))y =0. These methods are derived from the formula h^4y_1^(4) (δ^4 -1/6 δ^6+7/240 δ^8-….)y_i Numerical results are included to demonstrate practical usefulness of our methods.
延伸閱讀
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