[PDF] Top 20 Stability and boundedness in the numerical solution of initial value problems
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Stability and boundedness in the numerical solution of initial value problems
... In Section 2, we shall first introduce a general class of multistage multistep methods which encompasses LMMs and is relevant to problem (1.4). Next, our main result, Theorem 2.1, will be formulated. It guarantees, for ... See full document
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A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables
... the numerical method of characteristics for the numerical solution of initial value problems (IVPs) for quasilinear hyperbolic Partial Differential Equations, as well as the ... See full document
32
The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods
... the numerical solution of stiff systems of first order initial value problems arising from chemical reactions such as Robertson problem ...the stability condition , the time step ... See full document
13
Nonstandard explicit third-order Runge-Kutta method with positivity property
... their numerical simulations are fundamental im- portance in gaining the correct qualitative and quantitative information on the ...systems. Numerical methods based on finite difference approximations, ... See full document
10
Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems
... Numerical solution of ordinary differential equation, A-pror error estimates of linear mtistep methods, Linear mbistep methods with region of absolute stability, Uniform boundedness of p[r] ... See full document
17
Stability and boundedness of solutions of the initial value problem for a class of time fractional diffusion equations
... The stability of the solution of a definite solution problem is of great importance in the theory of partial differential ...the stability of solutions of initial value ... See full document
10
Implicit One-step L-stable Generalized Hybrid Methods for the Numerical Solution of First Order Initial Value problems
... weak stability properties for a given number of functions evaluations per step, suffered the disadvantage of requiring additional starting values and special procedures for changing ... See full document
12
Trigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
... In this paper, we have presented the new trigonometrically-fitted two-step symmetric Obrechkoff method of order8. The details of the procedure adapted for the applications have been given in Section 2. With trigonometric ... See full document
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Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations
... Various numerical methods have been developed for the solution of some initial value problems of ordinary differential ...the Numerical Analysts who have worked extensively on ... See full document
11
Numerical Treatment of Initial Boundary Value Problems with Mixed Boundary Conditions
... boundary value problems and initial boundary value problems with mixed boundary condi- tions for linear and nonlinear partial differential ...the solution in a rapidly convergent ... See full document
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I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)
... the numerical integration of stiff IVPs in ODEs (1) have been ...the stability polynomials in section IV shows that the high order hybrid formula (8) is A-stable for k ≤ 3 and A(α)-stable for 4 ≤ k ≤ ... See full document
11
Online Full Text
... Numerical method is a substantial aspect in solving initial value problems in ordinary differential equations where the problems cannot be solved or difficult to obtain ...The ... See full document
6
Optimizing Time Spectral Solution of Initial Value Problems
... Time-spectral solution of ordinary and partial differential equations is often regarded as an inefficient ...many numerical operations and high memory ...Three initial-value PDEs are employed ... See full document
20
Numerical Solution for Initial and Boundary Value Problems of Fractional Order
... DOI: 10.4236/apm.2018.812051 832 Advances in Pure Mathematics prominent tools that are perfectly representing many engineering and physical problems. However, solving fractional differential equations are a ... See full document
14
Time Spectral Solution of Initial Value Problems—Subdomain Approach
... All three methods have been employed to solve the example magnetohydrodynamic stability problem. This is an advanced problem, since it involves the simultane- ous solution of 14 coupled partial differential ... See full document
10
The numerical solution of boundary value problems in partial differential equations
... for the above difference scheme. Now, if there are any eigenvalues of U greater than 4, the condition (b)’ is only slightly stricter than the condition (12), which would be expected to apply; this is because any ... See full document
157
A new two-step Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrodinger equation and related IVPs with oscillating solutions
... the numerical solution of systems of ordinary differential equations with oscillating or periodical ...of numerical methods for the approximate solution periodic initial–value ... See full document
23
On explicit and numerical solvability of parabolic initial-boundary value problems
... ( j = 1,. . . ,N, i = 1, . . .,M). (3.11) It turns out that the system has a lower block-triangular matrix with equal diagonal blocks. Each block is a square matrix of order N. Therefore, to solve the system using the ... See full document
12
Numerical Results of Some Initial and Boundary Value Problems in Mechanics
... and numerical solutions of fourth order homogenous and non-homogenous linear boundary value problems were investigated using a polynomial form of initial guess with the variational iteration ... See full document
8
Numerical solution of fuzzy initial value problems under generalized dierentiability by HPM
... proximate solution of the Fuzzy Initial Value Problem (FIVP) involving generalized dif- ...exact solution with approximate solution obtained by HPM is in ... See full document
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