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Myvi Posted 15 years ago
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The aim of this research is to develop an efficient code based on Huen's methods for solving first and higher order boundary value problems of ordinary differential equations (ODEs) directly. This goal can be gained by
1. Deriving the formulae of 5-point Huen's method, 6-point Huen's method and 7-point Huen's method which these developed Huen's method will act as simultaneous numerical integrator regarding to its point respectively.
2. Implementing variable step size strategy in the devised Huen's method.
3. Storing all the coefficients of the method in the code.
1. Deriving the formulae of 5-point Huen's method, 6-point Huen's method and 7-point Huen's method which these developed Huen's method will act as simultaneous numerical integrator regarding to its point respectively.
2. Implementing variable step size strategy in the devised Huen's method.
3. Storing all the coefficients of the method in the code.
Top answer
The aim of this research is to develop an efficient code based on Huen's methods for solving first- and higher-order boundary value problems of ordinary differential equations (ODEs) directly. This goal can be attained by : 1. Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method , which will act as simultaneous numerical integrators respectively.
- The aim of this research is to develop an efficient code based on Huen's methods for solving first- and higher-order boundary value problems of ordinary differential equations (ODEs) directly.
- This goal can be attained by : 1.
- Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method , which will act as simultaneous numerical integrators respectively.
- 2.
- Implementing a variable step-size strategy in the devised Huen's method.
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3 Answers
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The aim of this research is to develop an efficient code based on Huen's methods for solving first- and higher-order boundary value problems of ordinary differential equations (ODEs) directly. This goal can be attained by:
1. Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method, which will act as simultaneous numerical integrators
1. Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method, which will act as simultaneous numerical integrators
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Conventional numerical method will compute the solution at one point at each application of the method but this method will compute several solutions simultaneously. For example 5-point Huen's method will compute five solutions simultaneously. You got it sir?
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OK. You'll need to do it this way, then:
1. Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method, which will act as simultaneous numerical integrators for 5, 6 and 7 points respectively.
1. Deriving the formulae of the 5-point, 6-point, and 7-point Huen's method, which will act as simultaneous numerical integrators for 5, 6 and 7 points respectively.
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