الفهرس 
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Abstract
SUMMARY
This thesis is concerned with the accuracy of step-point
methods for solving differential equations and consists of five
,chapters. The purpose of this thesis interests in the step - point
, methods of implicit form for solving stiff systems. The implicit
..s..tep - point family were examined both theoretically and
(X)mputationalLy.
apter 1: In this chapter, we present the fundamentals of the
neral numerical methods for solving ordinary differential
ations (ODEs), the definitions of convergence, stability, local
global error are presented. General methods for locating
interval of absolute stability are mentioned.
2: This chapter is concerned with the problem of
Some definitions and theorems of stability ·of·
rical methods for solving stiff initial value problems (IVPs)
one step, linear multistep and predictor - corrector (P-C)
ds are described.
ter 3 : In this chapter, we derive two classes of two
it predictor formulae and one corrector which depend on
dent k - step formula and the theoretical analysis of the
s are given. Their accuracy and stability characteristics
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