Laplace transform method for one-dimensional heat and wave equations with nonlocal conditions

被引：0

作者：

Bahuguna, D. ^{[1
]}

Abbas, S. ^{[1
]}

Shukla, R. K. ^{[2
]}

机构：

[1] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

[2] Invertis Grp Inst, Bareilly 243123, UP, India

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2010年 / 16卷 / M10期

关键词：

Laplace transform; wave equation; heat equation; Numerical Algorithms;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the one dimensional heat equation and the wave equation subject to nonlocal conditions. We use the method of Laplace transforms. Finally, we obtain the solution by using a numerical technique for inverting the Laplace transforms.

引用

页码：96 / 100

页数：5

共 50 条

[1] Laplace transform method for one-dimensional heat and wave equations with nonlocal conditions
Bahuguna, D.
Abbas, S.
Shukla, R.K.
International Journal of Applied Mathematics and Statistics, 2010, 16 (M10): : 96 - 100
[2] EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL WAVE EQUATIONS WITH NONLOCAL CONDITIONS
Beilin, Sergei A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[3] The Laplace Transform Shortcut Solution to a One-Dimensional Heat Conduction Model with Dirichlet Boundary Conditions
Wu, Dan
Tao, Yuezan
Ren, Honglei
AXIOMS, 2023, 12 (08)
[4] SOLVABILITY OF NONLOCAL PROBLEMS FOR SEMILINEAR ONE-DIMENSIONAL WAVE EQUATIONS
Kharibegashvili, Sergo
Midodashvili, Bidzina
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[5] Sliding method and one-dimensional symmetry for p-Laplace equations
Le, Phuong
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (04)
[6] The Laplace Transform and Nonlocal Field Equations
Chavez, A.
Prado, H.
Reyes, E. G.
10TH JUBILEE CONFERENCE OF THE BALKAN PHYSICAL UNION, 2019, 2075
[7] The Method of Fundamental Solutions for One-Dimensional Wave Equations
Gu, M. H.
Young, D. L.
Fan, C. M.
CMC-COMPUTERS MATERIALS & CONTINUA, 2009, 11 (03): : 185 - 208
[8] HYBRID LAPLACE TRANSFORM-FINITE ELEMENT METHOD FOR ONE-DIMENSIONAL TRANSIENT HEAT-CONDUCTION PROBLEMS
CHEN, HT
CHEN, TM
CHEN, CK
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 63 (01) : 83 - 95
[9] USE OF LAPLACE TRANSFORM METHOD TO SOLVE ONE-DIMENSIONAL PERIODIC-POTENTIAL PROBLEM
SANTANA, PHA
ROSATO, A
AMERICAN JOURNAL OF PHYSICS, 1973, 41 (10) : 1138 - 1144
[10] APPLICATION OF THE LAPLACE TRANSFORM TO ONE-DIMENSIONAL NONLINEAR TRANSIENT HEAT-CONDUCTION IN HOLLOW CYLINDERS
CHEN, HT
LIN, JY
COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1991, 7 (03): : 241 - 252

← 1 2 3 4 5 →