Block hybrid methods for numerical treatment of differential equations with applications

This thesis focuses mainly on deriving block hybrid methods for solving Ordinary Differential Equations (ODEs). Block hybrid methods are the methods that generate a block of new solutions at the main and off-step points concurrently. The first part of the thesis is about the derivation of the exp...

وصف كامل

التفاصيل البيبلوغرافية
المؤلف الرئيسي:	Yap, Lee Ken
التنسيق:	أطروحة
اللغة:	الإنجليزية
منشور في:	2016
الموضوعات:	Differential equations - Numerical solutions
الوصول للمادة أونلاين:	http://psasir.upm.edu.my/id/eprint/69781/1/IPM%202016%207%20-%20IR.pdf

مواد مشابهة

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Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
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Second derivative block methods for solving first and higher order ordinary differential equations
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Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
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Block backward differentiation formulas for solving first and second order fuzzy differential equations
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Direct one-step block methods for solving general second order non-stiff ordinary differential equations
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Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
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Diagonally implicit two point block backward differentiation formulas for solving stiff ordinary differential equations and fuzzy differential equations
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Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
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Numerical methods for solving oscillatory and fuzzy differential equations
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Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods
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Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations
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Three-point diagonally implicit block methods for solving ordinary and fuzzy differential equations
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Direct one-step block methods for solving special second order delay differential equations
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Solving ordinary differential equations using block multistep method
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Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
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Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
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Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
حسب: Salih, Mohammed Mahmood
منشور في: (2016)

Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
حسب: Che Hussin, Che Haziqah
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Numerical solution of special second order initial value problems by hybrid type methods
حسب: Dauda Yusuf Jikantoro,
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Numerical solutions of single delay differential equations and special second order oscillatory initial value problems using Runge-Kutta and hybrid methods
حسب: Ahmad, Sufia Zulfa
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Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
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Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
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New classes of block backward differentiation formula for solving stiff initial value problems
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Trigonometrically fitted multistep methods for solving oscillatory problems
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Feedforward neural network for solving particular fractional differential equations
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